The difference between the present ages of P and Q is 4

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The difference between the present ages of P and Q is 4 years. The ratio of their ages after 5 years will be 9 : 8. The present age of P is :

1. 24 years
2. 30 years
3. 32 years
4. None of these
5. .

Correct Option: D

Let us assume the present ages of P and Q be (x + 4) and x years;
then, According to question,
( x + 4 + 5 )/ (x + 5) = 9/8
⇒ 8x + 72 = 9x + 45
∴ x = 27
Hence, present age of P = 27 + 4 = 31 years