Question

Present ages of P and Q are in the ratio 5:7 respectively. If Q’s age, 11 years hence from now will be 5 times of P’s age, 5 years ago from now, then find the present age of Q.

A 20 years Correct Answer Incorrect Answer
B 35 years Correct Answer Incorrect Answer
C 14 years Correct Answer Incorrect Answer
D 21 years Correct Answer Incorrect Answer

Solution

Let the present ages of P and Q be 5x and 7x years respectively. According to the question, => (7x + 11) = 5 ×  (5x – 5) => 7x + 11 = 25x – 25 => 18x = 36 => x = 2 Therefore, the present age of Q = 7x = 14 years

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