[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?
60
62
54
59
Correct Answer :
59
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.