Question
Ratio of the present ages of ‘A’ and ‘B’ is 16:25 respectively. 10 years from now, the ratio of ages of ‘A’ to ‘C’ will be 1:2. Square roots of present ages of ‘B’ and ‘C’ are in the ratio 5:6 respectively. Find the present age of ‘C’.
Solution
Let, present age of ‘A’, ‘B’ and ‘C’ be 16x years, 25x years and m years respectively. So, √25x:√m = 5:6 Or, 25x/m = 25/36 Or, m = 36x ----(i) Again, (16x + 10):(m + 10) = 1:2 Or, 32x + 20 = m + 10 Or, m – 32x = 10 Or, 36x – 32x = 10 [from (i)] Or, 4x = 10 Or, x = 2.5 Present age of ‘C’ = 36 × 2.5 = 90 years.
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