Question

The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches of the remaining 20 toddlers is

• A. 30
• B. 28
• C. 32
• D. 26

Answer 1

The correct option is C

32

Let the average height of the original 22 toddlers be ‘x’ inches.
Then by following the conditions given in the question, we get the equation as:
$\frac{22x-2\left(\frac{x}{3}\right)}{20}$ = x + 2
Solving for x, we get x = 30
Therefore, average of remaining 20 toddlers = 30 + 2 = 32.