Question : Directions: The present age of P is 45 years. 9 years hence, the ages of P and Q will be in the ratio 6 : 7. What is the present age (in years) of Q?
Option 1: 64
Option 2: 54
Option 3: 63
Option 4: 53
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Correct Answer: 54
Solution :
Given:
The present age of P is 45 years.
9 years later, the ratio of the ages of P and Q will be 6 : 7
After 9 years, P's age will be 45 + 9 = 54 years
Let, P and Q's ages after 9 years be 6Y and 7Y.
According to the question –
⇒ 6Y = 54
⇒ Y = 54 ÷ 6
⇒ Y = 9
Therefore, the present age of Q→7Y – 9 = (7 × 9) – 9 = 63 – 9 = 54
So, Q's present age is 54 years. Hence, the second option is correct.
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