CAT 2017 Averages Question (Medium)

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

Accepted Answer

Step 1 Define Variables Let be the original number of toddlers. Let be the original average height of the 22 toddlers. Let be the original sum of heights of the 22 toddlers. So, . Let be the number of toddlers who leave. Let be the average height of the 2 toddlers who leave. Let be the sum of height

CAT 2017

Quantitative

Averages

Medium

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

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