Question
Ratio of present ages of 'A' and 'B' is 5:3
respectively. Eight years later, the ratio of ages of 'B' and 'A' will be 7:9, respectively. Find the age of 'B' six years from now.Solution
Let the present ages of 'A' and 'B' be '5y' and '3y' years, respectively. So, (5y + 8) : (3y + 8) = 9 : 7 Or, 7 × (5y + 8) = 9 × (3y + 8) Or, 35y + 56 = 27y + 72 Or, 8y = 16 Or, 'y' = 2 Therefore, required age = 3 × 2 + 6 = 12 years
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