Question
If the ratio of the ages of A and B is 3:5, and after 5
years, the sum of their ages will be 50 years, what are their current ages?Solution
Let the current ages of A and B be 3x and 5x respectively. In 5 years, ages will be 3x + 5 and 5x + 5. Sum of ages after 5 years = (3x + 5) + (5x + 5) = 50. 8x + 10 = 50 → 8x = 40 → x = 5. Current ages: A = 3x = 15 years, B = 5x = 25 years. Correct answer: A) A = 15 years, B = 25 years
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