Question
At the time of their marriage, the ages of Karan and
Divya were in the ratio 13:12. Two years before their marriage, Karan’s age was 10% more than Divya’s. Seven years after their marriage, what will be the ratio of their ages?Solution
ATQ, Let their ages at marriage be 13y and 12y. 2 years before marriage → (13y − 2) and (12y − 2). Given: (13y − 2) = 1.10 × (12y − 2) ⇒ 13y − 2 = 13.2y − 2.2 ⇒ 0.2y = 0.2 ⇒ y = 0.2 ÷ 0.2 = 1 7 years after marriage: Karan = 13y + 7 = 13 + 7 = 20 Divya = 12y + 7 = 12 + 7 = 19 Required ratio = 20 : 19
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