Rajan got married 8 years ago. His present age is $$\frac{6}{5}$$ times his age at the time of his marriage. Rajan’s sister was 10 years younger to him at the time of his marrige. The age of Rajan’s sister is =
a) 32 years
b) 36 years
c) 38 years
d) 40 years
Answer: c
Explanation: Let Rajan’s age 8 years ago be x years,
Present age = (x + 8) years
$$\eqalign{
& x + 8 = \frac{6}{5}x \cr
& 5x + 40 = 6x \cr
& x = 40 \cr} $$
Rajan’s sister’s age 8 years ago
= (40 – 10) years
= 30 years
His sister’s age now
= (30+8) years
= 38 years
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