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
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
Updated On: Sep 26, 2024
- 30
- 28
- 32
- 26
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The Correct Option is C
Solution and Explanation
The correct answer is (C):
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, viz. x – 2.
20(x)+2(x-2)/3/22 = x-2
Upon solving, x = 32 inches.
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