Question
The present ages of A and B are in the ratio 4 : 5. After 6 years, the ratio of their ages will be 5 : 6. Find their present ages.
Solution
Let present ages be: A = 4x, B = 5x After 6 years: A = 4x + 6 B = 5x + 6 Given: (4x + 6)/(5x + 6) = 5/6 Cross-multiply: 6(4x + 6) = 5(5x + 6) 24x + 36 = 25x + 30 36 − 30 = 25x − 24x 6 = x So A = 4x = 24 years B = 5x = 30 years Answer: A is 24 years, B is 30 years.
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