Question
The present ages of A and B are in the ratio 5 : 3.
After 4 years, the ratio of their ages becomes 3 : 2. What will be A's age after 6 years?Solution
Let present ages be 5x and 3x. After 4 years: (5x + 4) / (3x + 4) = 3 / 2 2(5x + 4) = 3(3x + 4) 10x + 8 = 9x + 12 x = 4 Present age of A = 5x = 20 years A's age after 6 years = 20 + 6 = 26 years Hence, the correct answer is 26 years.
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