Quant Exam > Quant Questions > Ram was born 30 years after his father was bo...
Start Learning for Free
Ram was born 30 years after his father was born and Ram's sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Ram's sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Ram's father?
- a)30 year
- b)35 year
- c)40 year
- d)45 years
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Ram was born 30 years after his father was born and Rams sister was bo...
Let the present age of father be x and mother be y
∴ Ram age = (x – 30)
And Ram’s sister = (y – 25)
We know that
Average = Sum of all/total number of terms
⇒ 26.25 = Sum of all/4
Sum of their ages will be = 105
∴ x + y + (x - 30) + (y – 25) = 105
⇒ x + y = 80 ----(i)
After four years their total ages will be (excluding daughter age)
∴ (x + 4) + (y + 4) + (x – 30) + 4 = 107
⇒ 2x + y = 125 ----(ii)
By solving equation (i) and (ii) we get
⇒ x = 45 and y = 35
∴ The age of Ram’s father will be 45 years
Most Upvoted Answer
Ram was born 30 years after his father was born and Rams sister was bo...
So, the daughter will get married when she is 14 years old?
Way to go!
Way to go!
Free Test
FREE
| Start Free Test |
Community Answer
Ram was born 30 years after his father was born and Rams sister was bo...
Given information:
- I was born 30 years after my father was born.
- My sister was born 25 years after my mother was born.
- The average age of my family is 26.25 years right now.
- My sister will get married 4 years from now and will leave the family.
- Then the average age of the family will be 107/3 years.
Let's assume the current age of my father is F years and my age is X years.
Calculating my father's age:
- According to the given information, I was born 30 years after my father was born. So, my father's age when I was born is (X + 30) years.
- Therefore, my father's current age is (X + 30 + F) years.
Calculating my mother's age:
- According to the given information, my sister was born 25 years after my mother was born. So, my mother's age when my sister was born is (25 + X) years.
- Therefore, my mother's current age is (25 + X + F) years.
Calculating the average age of the family:
- The average age of the family is given as 26.25 years. Since there are 4 members in the family (father, mother, sister, and me), the sum of our ages is 26.25 * 4 = 105 years.
- The sum of our ages is (X + 30 + F) + (25 + X + F) + X + F = 105 years.
Calculating the average age after my sister gets married:
- After my sister gets married, she will leave the family. So, we need to calculate the average age of the remaining family members.
- The remaining family members are my father, mother, and me.
- The sum of our ages is (X + 30 + F) + (25 + X + F) + X = (3X + 55 + 3F) years.
- According to the given information, the average age after my sister gets married will be 107/3 years.
- Therefore, (3X + 55 + 3F) = (107/3) * 3.
- Simplifying the equation, 3X + 55 + 3F = 107.
- Rearranging the equation, 3X + 3F = 107 - 55.
- Simplifying further, 3X + 3F = 52.
Finding the age of my father:
- We have two equations:
1) (X + 30 + F) + (25 + X + F) + X + F = 105
2) 3X + 3F = 52
- We can solve these equations simultaneously to find the values of X and F.
Using the given options, we can substitute the value of my father's age (F) to check which option satisfies both equations. The correct answer is option 'D' (45 years).
- I was born 30 years after my father was born.
- My sister was born 25 years after my mother was born.
- The average age of my family is 26.25 years right now.
- My sister will get married 4 years from now and will leave the family.
- Then the average age of the family will be 107/3 years.
Let's assume the current age of my father is F years and my age is X years.
Calculating my father's age:
- According to the given information, I was born 30 years after my father was born. So, my father's age when I was born is (X + 30) years.
- Therefore, my father's current age is (X + 30 + F) years.
Calculating my mother's age:
- According to the given information, my sister was born 25 years after my mother was born. So, my mother's age when my sister was born is (25 + X) years.
- Therefore, my mother's current age is (25 + X + F) years.
Calculating the average age of the family:
- The average age of the family is given as 26.25 years. Since there are 4 members in the family (father, mother, sister, and me), the sum of our ages is 26.25 * 4 = 105 years.
- The sum of our ages is (X + 30 + F) + (25 + X + F) + X + F = 105 years.
Calculating the average age after my sister gets married:
- After my sister gets married, she will leave the family. So, we need to calculate the average age of the remaining family members.
- The remaining family members are my father, mother, and me.
- The sum of our ages is (X + 30 + F) + (25 + X + F) + X = (3X + 55 + 3F) years.
- According to the given information, the average age after my sister gets married will be 107/3 years.
- Therefore, (3X + 55 + 3F) = (107/3) * 3.
- Simplifying the equation, 3X + 55 + 3F = 107.
- Rearranging the equation, 3X + 3F = 107 - 55.
- Simplifying further, 3X + 3F = 52.
Finding the age of my father:
- We have two equations:
1) (X + 30 + F) + (25 + X + F) + X + F = 105
2) 3X + 3F = 52
- We can solve these equations simultaneously to find the values of X and F.
Using the given options, we can substitute the value of my father's age (F) to check which option satisfies both equations. The correct answer is option 'D' (45 years).
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer?
Question Description
Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer?.
Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Ram was born 30 years after his father was born and Rams sister was born 25 years after Ram’s mother was born. The average age of the Ram family is 26.25 years right now. Rams sister will get married 4 years from now and will leave the family. Then the sum of age of the family will be 107 years. What is the age of Rams father?a)30 yearb)35 yearc)40 yeard)45 yearsCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup