In a class, the average age of 28 boys is 23 years. Two boys whose ages are ‘x’ years and 27 years leave the class. If the new average age of the class is 23 years, then what is the value of ‘x’?
Show answer & explanation
Correct answer: A
Explanation
Given:
Number of boys = 28, Average = 23
Two boys (x, 27) leave.
New average = 23
According to the formula:
Sum = Average × Number
Initial sum = 28 × 23 = 644
New sum = 26 × 23 = 598
Sum of those who left = 644 − 598 = 46
x + 27 = 46
x = 19