Question
The present ages of A and B are in the ratio 5 : 4.
After 6 years, the sum of their ages will be 66 years. C is 8 years younger than B at present. What will be the ratio of the age of C 4 years from now to the present age of A?Solution
Let present ages of A and B be 5x and 4x. After 6 years: (A + 6) + (B + 6) = 66 5x + 6 + 4x + 6 = 66 9x + 12 = 66 9x = 54 → x = 6 So: A now = 5x = 30 B now = 4x = 24 C now = B − 8 = 24 − 8 = 16 C after 4 years = 16 + 4 = 20 Required ratio = C(after 4 yrs) : A(now) = 20 : 30 = 2 : 3
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