Question:

Rajani's mother's age is twice that of Rajani. Rajani's mother's husband age is 10 years more than her mother's age. Rajani's age along with her father and mother's age put together is 160 years. What's her father's age?

Updated On: Oct 14, 2024
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The Correct Option is B

Solution and Explanation

Let's  Rajani's age = RR and her mother's age = MM,and her father's age=FF.

Acc. to Ques:
M=2RM = 2R (Rajani's mother's age is twice that of Rajani)
 FF = M+10M + 10.
So, total age =R+M+F=160R + M + F = 160.

R+M+M+10=160R + M + M + 10 = 160

R+2(2R)+10=160(substituting M=2R)R + 2(2R) + 10 = 160 \quad \text{(substituting } M = 2R\text{)}
5R+10=1605R + 10 = 160
5R=1505R = 150
R=30R = 30
So, M=2R=2×30=60M=2R=2\times30=60

So, Rajani's father's age is =M+10=70M+10=70

Therefore, The correct option is (B).

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