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Three years ago , the average age of a family of 5 members was 17 years. Inspite of the birth of a child in the family, the present average age of the family remains the same. The present age of the child is
  • a)
    3 years
  • b)
    1 year
  • c)
    2 years
  • d)
    1.5 years
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Three years ago , the average age of a family of 5 members was 17 year...
Total age of family 3 years ago = 17x5 = 85 years
Total age of family now = 17x 6 = 102 years
Total age of family excluding the child now = (85 + 15) = 100 years
Age of child = 2 years
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Most Upvoted Answer
Three years ago , the average age of a family of 5 members was 17 year...
Given information:
- Three years ago, the average age of a family of 5 members was 17 years.
- Presently, the family still consists of 5 members.
- The present average age of the family remains the same even after the birth of a child.

To find:
- The present age of the child.

Solution:
Let's assume that the present age of the 5 family members is x.
- Three years ago, their age was (x-3) each.
- So, the total of their ages three years ago was 5(x-3).
- According to the question, the average age of the family remains the same even after the birth of a child.
- So, the present total age of the 6 members (5 original members + 1 child) is 6x.
- The difference between the total ages of the 6 members and the 5 original members will give us the age of the child.
- So, the present age of the child will be:

Present age of child = Present total age of 6 members - Total age of 5 original members
= 6x - 5(x-3)
= x+15

Given that the average age of the family remains the same. So, we can write:
Total age / Number of members = Average age
=> 5x / 5 = x
=> x = 5

Substituting x=5 in the above equation, we get:
Present age of child = x+15 = 5+15 = 20

Therefore, the present age of the child is 2 years (option C).
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Three years ago , the average age of a family of 5 members was 17 years. Inspite of the birth of a child in the family, the present average age of the family remains the same. The present age of the child isa)3 yearsb)1 yearc)2 yearsd)1.5 yearsCorrect answer is option 'C'. Can you explain this answer?
Question Description
Three years ago , the average age of a family of 5 members was 17 years. Inspite of the birth of a child in the family, the present average age of the family remains the same. The present age of the child isa)3 yearsb)1 yearc)2 yearsd)1.5 yearsCorrect 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 Three years ago , the average age of a family of 5 members was 17 years. Inspite of the birth of a child in the family, the present average age of the family remains the same. The present age of the child isa)3 yearsb)1 yearc)2 yearsd)1.5 yearsCorrect 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 Three years ago , the average age of a family of 5 members was 17 years. Inspite of the birth of a child in the family, the present average age of the family remains the same. The present age of the child isa)3 yearsb)1 yearc)2 yearsd)1.5 yearsCorrect answer is option 'C'. Can you explain this answer?.
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