Question
The combined current ages of A, B, and C amount to 75
years. Five years from now, A's age compared to C's will be in the ratio of 5:7. Currently, B is 25% older than A. Calculate the total ages of B and C two years ago.Solution
Let the age of 'A' and 'C' 5 years hence form now be '5x' years and '7x' years respectively. So, the present age of 'B' = {(5x - 5) X (5/4) } years ATQ, (5x - 5) + (7x - 5) + {(5x - 5) X (5/4) } = 75 Or, 12x - 10 + 6.25x - 6.25 = 75 Or, 18.25x = 75 + 16.25 So, 'x' = (91.25 ÷ 18.25) = 5 So, Age of 'B' 2 years ago from now = 25 - 2 = 23 years Age of 'C' 2 years ago from now = 30 - 2 = 28 years Therefore, required sum = 28 + 23 = 51 years
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