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Question

Mathematics Question on Problems on ages

Rajan got married 8 years ago. His present age is 65\frac{6}{5} times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is

A

32 years

B

36 years

C

38 years

D

40 years

Answer

38 years

Explanation

Solution

The correct option is(C): Let Rajan age when he was married be 5x5x years
Rajan present age =6x6x years
According to give problem :
5x+8=6x5x+8=6x
x=8x=8
Rajan sister's age at the time of his marriage = 5x10=30years5x-10=30 years
\thereforeRajan sister's present age (8 years after marriage)=30+8=38years30+8=38years