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Q.

A is 2 years older than B who is twice as old as C. If the total ages of A, B and C are 27 years, then how old is B?

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a

7 years

b

4 years

c

8 years

d

10 years  

answer is D.

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Detailed Solution

Let age of c is ‘x’ A/q B ‘s age is 2 x
Given A is 2 years older than B
∴Age of A is (2+2x) years. Sum of ages of A,B , C = 27
Age of + Age of B = 27 + Age of C 2+2x + 2x +x = 27
5x +2 = 27
5x = 27-2
5x = 25
x = 5
∴Age of B = 2x
= 2x5
= 10 years
 
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