Question
The ratio of the present ages of ‘X’ and ‘Y’ is
7:5, respectively. After 10 years, the ratio of their ages will become 9:7. The sum of the present ages of ‘X’ and ‘Y’ is:Solution
Let the present ages of ‘X’ and ‘Y’ be ‘7x’ and ‘5x’ years, respectively ATQ; (7x + 10)/(5x + 10) = 9/7 Or, 49x + 70 = 45x + 90 Or, 4x = 20 Or, x = 5 Now, sum of present ages of ‘X’ and ‘Y’ = 7 × 5 + 5 × 5 = 60
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