Average age of a group of 16 boys is 24 years. Two boys with ages 19 years and 18 years left the group. One boy with age 43 years joined the group. What is the new average age (in years) of the group?
Show answer & explanation
Correct answer: D
Explanation
Given:
Number of boys = 16, Average age = 24
Ages of those who left = 19, 18
Age of the one added = 43
According to the formula:
Sum = Average × Number
Original Sum = 16 × 24 = 384
New Sum = 384 − (19 + 18) + 43
= 384 − 37 + 43
= 390
New Number = 15
New Average = 390 / 15 = 26