Question

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
A.7
B.8
C.9
D.10

Answer 1

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Let C's age be x years.

Then, B's age = 2x years.

A's age = (2x + 2) years.

∴ (2x + 2) + 2x + x = 27

⇒ 5x = 25

⇒ x = 5.

Hence, B's age=2x= 10 years

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Answer 2

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Let C's age be x years.

Then, B's age = 2x years and 

A's age = (2x + 2) years

Given, 2x + 2 + 2x + x = 27

⇒ 5x + 2 = 27

⇒ 5x = 27 − 2 = 25

⇒ x = 5

∴ B's age = (2×5) years = 10 years.