Six years ago, the ratio of the ages of 'A' and 'B' was

Solution

Let the ages of 'A' and 'B' six year ago from now be '3y' and '5y' years respectively. So, present ages of 'A' and 'B' will be (3y + 6) and (5y + 6) years respectively. ATQ: (3y + 6 + 8) :(5y + 6 + 8) = 5:6 Or, (3y + 14) :(5y + 14) = 5:6 Or, 6 X (3y + 14) = 5 X (5y + 14) Or, 18y + 84 = 25y + 70 Or, 7y = 14 So, 'y' = 2 So, present age of 'B' = 5 X 2 + 6 = 16 years So, age of 'B' 2 years hence from now = 16 + 2 = 18 years Let the ages of 'A' and 'B' six year ago from now be '3y' and '5y' years respectively. So, present ages of 'A' and 'B' will be (3y + 6) and (5y + 6) years respectively. ATQ: (3y + 6 + 8) :(5y + 6 + 8) = 5:6 Or, (3y + 14) :(5y + 14) = 5:6 Or, 6 X (3y + 14) = 5 X (5y + 14) Or, 18y + 84 = 25y + 70 Or, 7y = 14 So, 'y' = 2 So, present age of 'B' = 5 X 2 + 6 = 16 years So, age of 'B' 2 years hence from now = 16 + 2 = 18 years