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?

Question

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?

Answer

So, the daughter will get married when she is 14 years old?
Way to go!

Answer

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).

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