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Question

The present age of pratik and arjun are in the ratio 2:3. 4 years from now, the ratio of their ages will be 4:5. What is the present age of Pratik?

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Solution

Let their ages be 2x and 3x.
By the problem,
(2x+4)/(3x+4) = 4/5
5(2x+4) = 4(3x+4)
10x+20 = 12x+16
12x-10x = 20-16
2x = 4
x = 2

Pratik's age = 2x = 2*2 = 4
Arjun's age = 3x = 3*2 = 6

Answer : A is

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