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Q.

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


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a

    7 years

b

    8 years

c

    9 years

d

    10 years 

answer is D.

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Detailed Solution

It is given A is 2 years older than B who is twice as old as C and total of the ages of A, B and C be 27 years.
Let, C' age =x years
Then
B's age =2x years
A’s age =(2x+2) years
According to the question,
 x+2x+(2x+2) = 27
 ⇒5x+2=27 ⇒5x=25
⇒x=5
Therefore,
B's age =(2×5)years
            =10years.
Hence, the correct option is 4.
 
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A is 2 years older than B who is twice as old as C. If the total of the ages of A, B and C be 27 years then how old is B?