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, then how old is b?.

Answer 1

b is 10 years old

Explanation:

express a and b in terms of c

given a = b + 2 and b = 2c , then a = 2c + 2

the sum of their ages is then

a + b + c = 27 , that is

2c + 2 + 2c + c = 27

5c + 2 = 27 ( subtract 2 from both sides )

5c = 25 ( divide both sides by 5 )

c = 5

Then

b = 2c = 2 × 5 = 10