Question
Present ages of A and B are in the ratio 3:5. After 10 years, their ages will be in the ratio 5:7. Find A's present age.
Solution
Let present ages be 3x and 5x. After 10 years: (3x + 10)/(5x + 10) = 5/7 7(3x + 10) = 5(5x + 10) 21x + 70 = 25x + 50 20 = 4x x = 5 So A's present age = 3x = 15 years
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