Quant Exam > Quant Questions > The sum of the ages of a Sita’s mother ...
Start Learning for Free
The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?
- a)45 years,5 years
- b)35 years,15 years
- c)40 years,10 years
- d)42 years,8 years
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The sum of the ages of a Sita’s mother and her daughter is 50 ye...
Most Upvoted Answer
The sum of the ages of a Sita’s mother and her daughter is 50 ye...
Problem Statement
The sum of the ages of Sita's mother and her daughter is 50 years. Five years ago, the mother's age was seven times the daughter's age.
Let’s Define Variables
- Let M = Mother's current age
- Let D = Daughter's current age
Setting Up Equations
1. Age Sum Equation:
M + D = 50
2. Age Relation Equation (5 years ago):
(M - 5) = 7 * (D - 5)
Solving the Equations
- From the first equation, we can express M in terms of D:
M = 50 - D
- Substitute M in the second equation:
(50 - D - 5) = 7 * (D - 5)
This simplifies to:
45 - D = 7D - 35
- Rearranging gives:
45 + 35 = 7D + D
80 = 8D
D = 10
Finding Mother's Age
- Substitute D back into the equation for M:
M = 50 - D
M = 50 - 10 = 40
Final Ages
- Mother's Age: 40 years
- Daughter's Age: 10 years
Conclusion
The present ages of Sita's mother and daughter are 40 years and 10 years, respectively. Therefore, the correct answer is option 'C'.
The sum of the ages of Sita's mother and her daughter is 50 years. Five years ago, the mother's age was seven times the daughter's age.
Let’s Define Variables
- Let M = Mother's current age
- Let D = Daughter's current age
Setting Up Equations
1. Age Sum Equation:
M + D = 50
2. Age Relation Equation (5 years ago):
(M - 5) = 7 * (D - 5)
Solving the Equations
- From the first equation, we can express M in terms of D:
M = 50 - D
- Substitute M in the second equation:
(50 - D - 5) = 7 * (D - 5)
This simplifies to:
45 - D = 7D - 35
- Rearranging gives:
45 + 35 = 7D + D
80 = 8D
D = 10
Finding Mother's Age
- Substitute D back into the equation for M:
M = 50 - D
M = 50 - 10 = 40
Final Ages
- Mother's Age: 40 years
- Daughter's Age: 10 years
Conclusion
The present ages of Sita's mother and daughter are 40 years and 10 years, respectively. Therefore, the correct answer is option 'C'.
Free Test
FREE
| Start Free Test |
Community Answer
The sum of the ages of a Sita’s mother and her daughter is 50 ye...
Present - > M + D = 50
5 Years Ago - > M' + D' = Sum of ages five years ago(x)
M' = M - 5
D' = D - 5
x = M + D - 5 - 5 = 50-10 = 40
M' = 7*D'
x = 7*D' + D' = 8D' = 40
D' = 5
M' = 40 - 5 = 35
But these are ages 5 years ago.
So,
M = M' + 5 = 40 years
D = D' + 5 = 10 years
5 Years Ago - > M' + D' = Sum of ages five years ago(x)
M' = M - 5
D' = D - 5
x = M + D - 5 - 5 = 50-10 = 40
M' = 7*D'
x = 7*D' + D' = 8D' = 40
D' = 5
M' = 40 - 5 = 35
But these are ages 5 years ago.
So,
M = M' + 5 = 40 years
D = D' + 5 = 10 years
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. 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 The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. 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 The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. 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 The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The sum of the ages of a Sita’s mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)45 years,5 yearsb)35 years,15 yearsc)40 years,10 yearsd)42 years,8 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup