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Question

Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is

A
60 years
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B
37 years
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C
62 years
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D
15 years
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Solution

The correct option is B 37 years
Let the present ages of A,B,C be x,y and z years respectively.
Given, (x4)+(y4)+(z4)3=25
x+y+z12=75
x+y+z=87 .....(1) and
(y5)+(z5)2=20
y+z10=40
y+z=50 ....(2)
From equations (1) and (2), we have
A's age =x=(x+y+z)(y+z)=(8750) years =37 years

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