Exams › IBPS PO › Quantitative Aptitude

Six years ago, the average age of 8 family members was 27 years. The present average age of the 3 eldest members is 65 years, and the average age of another 3 members is 20 years. Out of the remaining two, one is 3 years older than the other. Find the age of the elder member among the remaining two.

1. 6 years
2. 5 years
3. 4 years
4. 7 years

Correct answer: 6 years

Solution

Six years ago, total age of 8 members was 8 × 27 = 216, so present total age is 216 + 8 × 6 = 264. The 3 eldest have total age 3 × 65 = 195 and another 3 have total age 3 × 20 = 60, so the remaining two have total 264 - 255 = 9. If their ages differ by 3, they are 6 and 3 years old, so the elder is 6 years old.

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