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Question

Fill in the blank:

The average age of three boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is ________.
  1. 18 years
  2. 21 years
  3. 9 years
  4. 15 years

A
21 years
B
18 years
C
9 years
D
15 years
Solution
Verified by Toppr

average age of three boys =25 years, their ages are in the proportion 3:5:7
Lets us assume their ages =3x,5x,7x
As we know, an average is the sum of a list of numbers divided by the number of numbers in the list.
Average age of three boys =3x+5x+7x3
25=15x3
25=5x
x=5
The age of the youngest boy =3x=3×5=15 years

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