Question 58

Rajan got married 8 years back. His age then was 5/6 of his present age. His sister was 10 years younger at the time of his marriage. How old is she now?

Solution

Let Rajan's present age be $$x$$.

Given that, at the time of his marriage his age was $$\frac{5}{6}$$ of his present age and got married 8 years back.

Therefore, $$x - {\frac{5}{6}}\times{x} = 8$$

$$\frac{6x - 5x}{6} = 8$$

$$\frac{x}{6} = 8$$

$$x = 48$$

Given that, his sister is 10 years younger.So his sister's age is $$48 - 10 = 38$$

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