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Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
  • a)
    35
  • b)
    42
  • c)
    56
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Present ages of X and Y are in the ratio 5:6 respectively. Seven years...
Let the present ages of X and Y be 5x years and 6x years respectively.
Then, 5x + 7/6x + 7 = 6/7
⇒ 7(5x + 7) = 6(6x + 7)
⇒ x = 7
∴ X's present age = 5x = 35 years
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Most Upvoted Answer
Present ages of X and Y are in the ratio 5:6 respectively. Seven years...
Given:
The present ages of X and Y are in the ratio 5:6 respectively.
After 7 years, the ratio of their ages will be 6:7 respectively.

Let's assume the present age of X as 5x and the present age of Y as 6x.

Calculation:
After 7 years, the age of X will be 5x + 7 and the age of Y will be 6x + 7.

According to the given condition, the ratio of their ages after 7 years is 6:7.
So, we can write the equation as:

(5x + 7)/(6x + 7) = 6/7

Cross multiplying, we get:
7(5x + 7) = 6(6x + 7)
35x + 49 = 36x + 42
35x - 36x = 42 - 49
-x = -7
x = 7

Therefore, the present age of X is 5x = 5 * 7 = 35 years.

Conclusion:
Hence, X's present age is 35 years. Therefore, option A is the correct answer.
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Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is Xs present age in years?a)35b)42c)56d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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