The ages of P and Q are presently in the ratio of 5 : 6 respectively. After six years, this ratio will become 6 : 7 respectively. What was Q's age 10 years ago?
Explanation:
Present ages of P and Q are in the ratio 5 : 6. ⇒ Let present age of P be 5x and that of Q be 6x.
Their ages after six years will be 5x + 6 and 6x + 6 respectively. Now, ratio of these ages is 6 : 7.
⇒ 5x+66x+6 = 67
⇒ 7 × (5x + 6) = 6 × (6x + 6) ⇒ 35x + 42 = 36x + 36 ⇒ x = 6
∴ Q;s present age = 6x = 36 years.
⇒ Q's age 10 years ago = 36 - 10 = 26 years.
Hence, option (a).
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