Question 87

At present, the respective ratio between the ages of A and B is 3 : 4 and that between A and Cis 1 : 2. Six years hence, the sum of ages of A, B and C will be 96 years. What is the present age of A ?

Solution

Let the present ages of A, B and C be a, b and c respectively

Given that a:b = 3:4

a:c = 1:2

So , we can say that a:b:c = 3:4:6

so a = 3y, b = 4y , c= 6y

6 years hence age of a = 3y+6

b = 4y + 6

c = 6y + 6

it is given that (3y+6) + (4y+6) + (6y+6) = 96

13y + 18 = 96

y = 6

so present age of A is = 3x6 = 18 years

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