Averages

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

  1. 30
  2. 28
  3. 32
  4. 26

Answer

Let the average height of the 20 toddlers be x inches. When the 2 toddlers are included, the average of the group comes down by 2, i.e. it becomes x – 2.

Also, given, that the average height of the 2 toddlers is one-third of the average height of the 22 toddlers, x – 2.

20(x) + 2(x - 2)/3 = (x - 2) × 22

Upon solving,

x = 32 inches. 

The correct option is C.