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Question

Q1. Present ages of Suman and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

24

30

36

18

Accepted Answer

Answer : 24

Let the present ages of Suman and Anand be 5x years and 4x years respectively.
Then, (5x + 3)/(4x + 3) = 11/9
⇒ 9(5x + 3) = 11(4x + 3)
⇒ 45x + 27 = 44x + 33
⇒ 45x - 44x = 33 - 27
⇒ x = 6.

∴ Anand's present age = 4x = 24 years.
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