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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
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