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The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
  • a)
    8, 20, 28
  • b)
    16, 28, 36
  • c)
    20, 35, 45
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The present ages of three persons in proportions 4 : 7 : 9. Eight year...
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 56
 20x = 80
 x = 4.
 Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.
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Most Upvoted Answer
The present ages of three persons in proportions 4 : 7 : 9. Eight year...
To solve this problem, let's assume the present ages of the three persons as 4x, 7x, and 9x respectively.

1. Set up the equation:
According to the problem statement, eight years ago, the sum of their ages was 56. So, we can write the equation as:
(4x - 8) + (7x - 8) + (9x - 8) = 56

2. Simplify the equation:
Simplifying the equation, we get:
20x - 24 = 56

3. Solve for x:
Adding 24 to both sides of the equation, we have:
20x = 80

Dividing both sides of the equation by 20, we get:
x = 4

4. Find their present ages:
Now that we know the value of x, we can find the present ages of the three persons by substituting x = 4 into our initial assumption.

The present ages will be:
Person 1: 4x = 4 * 4 = 16 years
Person 2: 7x = 7 * 4 = 28 years
Person 3: 9x = 9 * 4 = 36 years

Therefore, the correct answer is option B: 16, 28, 36.
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The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).a)8, 20, 28b)16, 28, 36c)20, 35, 45d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).a)8, 20, 28b)16, 28, 36c)20, 35, 45d)None of theseCorrect answer is option 'B'. 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 three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).a)8, 20, 28b)16, 28, 36c)20, 35, 45d)None of theseCorrect answer is option 'B'. 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 three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).a)8, 20, 28b)16, 28, 36c)20, 35, 45d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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