The sum of the present ages of two cousins is 54 years. Eleven years ago, the older one was thrice as old as the younger one. What is the present age of the older cousin?
A36 years
B34 years
C32 years
D35 years
Answer & Solution
Correct answer: D. 35 years
1. Let the younger be y; older = 54 - y.
2. Eleven years ago: (54 - y - 11) = 3(y - 11), i.e. 43 - y = 3y - 33.
3. Solving: 76 = 4y, so y = 19.
4. Older cousin = 54 - 19 = 35 years.
_Source: RRB Group D CEN-02/2018 PYQ, Q.58._
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