Question 57

A is 2 years older than B while B is 3 years younger than C. The ratio of age of A, 6 years hence and B, 2 years ago is 5:3. What was age of C, 6 years ago ?

Solution

let the present age of C be y years

So age of B will be y-3 years

And present age of A will be y-1 years

6 years hence age of A will be y+5 and age of B 2 years was y-5

It is given that $$\frac{y+5}{y-5}$$=$$\frac{5}{3}$$

y = 20 years

Hence age of C before 6 years = 20 -6 =14 years

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