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[PSSSB SCIENTIFIC ASSISTANT, 2024]

1. Present age of X is 48 years. 7 years hence, ages of X and Y will be in ratio 5:6. What is the present age (in years) of Y?

  1. 60

  2. 62

  3. 54

  4. 59

Correct Answer :

59

Solution

Let the present age of Y be y years.

 

In 7 years, X’s age will be 55 years, and Y’s age will be y + 7 years.

 

According to the problem:

\( {55 \over y + 7} = {5 \over 6} \)

\(6 \times 55 = 5 \times (y + 7)\)

330 = 5y + 35

295 = 5y 

y = 59


Hence, the present age of Y is 59 years.

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