Question
The ages of P, Q, and R are in the ratio 2:3:5. After 5
years, the sum of their ages will be 75 years. What are their present ages?Solution
Let the ages of P, Q, and R be 2x, 3x, and 5x respectively. After 5 years, their ages will be: P = 2x + 5, Q = 3x + 5, R = 5x + 5. The sum of their ages after 5 years: (2x + 5) + (3x + 5) + (5x + 5) = 75 10x + 15 = 75 10x = 60 x = 6. Now, calculate their present ages: P = 2x = 2 * 6 = 12 years Q = 3x = 3 * 6 = 18 years R = 5x = 5 * 6 = 30 years Correct option: d) P = 12, Q = 18, R = 30
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