How to solve this question ?

Asked by Anonymous on 2026-06-04 in CAT Prep

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 Answer

Varun · 2026-06-04 · 3 helpful

Avg ht of 22=x;
total ht of 22=22x

Given, When 2 leaves;
Avg ht of 20=x+2

Given, Avg Ht of 2 tods=x/3
Ht of 2 tods=2*(x/3)

After deducing above statements; Now we want to find “avg ht of 20”, which can be found by dividing 20 with total ht of those 20, so to find subtract ‘total ht of 2(who left)’ from ‘total ht of 22’. Therefore,
22x-(2x/3)=20(x+2)
x=30;
Therefore, Avg ht of 20= 32inches

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