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The present ages of A,B and C are in proportions 4 : 7 : 9 . Eight years ago, the sum of their ages was 56 . What are their present ages (in years)?
  • a)
    16 , 30 , 38
  • b)
    16 , 30 , 40
  • c)
    16 , 28 , 40
  • d)
    16 , 28 , 36
  • e)
    Insufficient data
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The present ages of A,B and C are in proportions 4 : 7 : 9 . Eight yea...
Let present age of A,B and C be 4 x , 7 x and 9 x respectively.
(4x−8)+(7x−8)+(9x−8)=56
⇒20x=80
⇒x=4
Hence present age of A, B and C are
4 × 4 , 7 × 4 and 9 × 4 respectively.
i.e., 16 , 28 and 36 respectively.
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Most Upvoted Answer
The present ages of A,B and C are in proportions 4 : 7 : 9 . Eight yea...
Given:
The present ages of A, B, and C are in proportions 4:7:9.
Eight years ago, the sum of their ages was 56.

To find:
The present ages of A, B, and C.

Solution:
Let the present ages of A, B, and C be 4x, 7x, and 9x respectively.

Eight years ago:
The age of A was (4x - 8)
The age of B was (7x - 8)
The age of C was (9x - 8)

The sum of their ages was 56, so:
(4x - 8) + (7x - 8) + (9x - 8) = 56
20x - 24 = 56
20x = 80
x = 4

Present ages:
The present age of A = 4x = 4 * 4 = 16 years
The present age of B = 7x = 7 * 4 = 28 years
The present age of C = 9x = 9 * 4 = 36 years

Therefore, the present ages of A, B, and C are 16, 28, and 36 years respectively.

Answer:
The correct answer is option D) 16, 28, 36.
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The present ages of A,B and C are in proportions 4 : 7 : 9 . Eight years ago, the sum of their ages was 56 . What are their present ages (in years)?a)16 , 30 , 38b)16 , 30 , 40c)16 , 28 , 40d)16 , 28 , 36e)Insufficient dataCorrect answer is option 'D'. Can you explain this answer?
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The present ages of A,B and C are in proportions 4 : 7 : 9 . Eight years ago, the sum of their ages was 56 . What are their present ages (in years)?a)16 , 30 , 38b)16 , 30 , 40c)16 , 28 , 40d)16 , 28 , 36e)Insufficient dataCorrect 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 The present ages of A,B and C are in proportions 4 : 7 : 9 . Eight years ago, the sum of their ages was 56 . What are their present ages (in years)?a)16 , 30 , 38b)16 , 30 , 40c)16 , 28 , 40d)16 , 28 , 36e)Insufficient dataCorrect 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 The present ages of A,B and C are in proportions 4 : 7 : 9 . Eight years ago, the sum of their ages was 56 . What are their present ages (in years)?a)16 , 30 , 38b)16 , 30 , 40c)16 , 28 , 40d)16 , 28 , 36e)Insufficient dataCorrect answer is option 'D'. Can you explain this answer?.
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