Question
In 5 years from now, the ratio of ages of P and Q will
be 9:5. If age of P after 15 years is 150% more than age of Q 10 years ago, find the difference between their current ages.Solution
ATQ,
Let ages of P and Q five years hence be 9x and 5x years respectively ATQ: 9x + 10 = 2.5(5x – 10) ⇒ 9x + 10 = 12.5x – 25 ⇒ 3.5x = 35 ⇒ x = 10 Desired difference = (9x – 5) – (5x – 5) = 4x = 4 × 10 = 40 years
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