One year ago, the ratio of Amit’s and Arun’s ages was 6 : 7 respectively. Four years hence, their ages will be in the ratio 7 : 8. How old is Amit?
Ratio Proportion
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Question

One year ago, the ratio of Amit’s and Arun’s ages was 6 : 7 respectively. Four years hence, their ages will be in the ratio 7 : 8. How old is Amit?

KnowledgeBoat · Accepted Answer

Given, The ratio of Amit’s and Arun’s ages was 6 : 7. Let Amit's age one year ago be 6x and Arun's age one year ago be 7x. Their present ages are : Amit's present age = 6x + 1 Arun's present age = 7x + 1 After four years their ages will be: Amit's age will be (6x + 1) + 4 = 6x + 5 Arun's age will be (7x + 1) + 4 = 7x + 5 Given, The ratio of their ages four years hence will be 7 : 8. ⇒ 8(6x + 5) = 7(7x + 5) ⇒ 48x + 40 = 49x + 35 ⇒ 40 - 35 = 49x - 48x ⇒ x = 5 Amit's present age is 6x + 1. = 6(5) + 1 = 30 + 1 = 31 years. Hence, Amit's present age = 31 years.

Mathematics

One year ago, the ratio of Amit’s and Arun’s ages was 6 : 7 respectively. Four years hence, their ages will be in the ratio 7 : 8. How old is Amit?

Ratio Proportion

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