Multiple choice

The average of fifteen person is 32 years. If two more persons are added then the average is increased by 3 years. The new person have an age difference of 7 years between them. The age (in year) of the older among the new persons is?

  1. 58

  2. 61

  3. 50

  4. 54

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total age of 15 persons = 15 × 32 = 480 years. After adding 2 persons, total becomes 17 × 35 = 595 years. Sum of ages of the 2 new persons = 595 - 480 = 115 years. Let the ages be x and y with x > y. Given x - y = 7 and x + y = 115. Solving: 2x = 122, so x = 61 years. The older person is 61 years old.