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 ?
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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