Question
Present ages of 'M' and 'N' are in ratio 2:3, respectively. If six years hence from now, age of 'M' will be 30% less than that of 'N', then find the ratio of present ages of 'M' and 'O' given that 'O' is 5 years older than 'M'.
Solution
ATQ, Let the present ages of 'M' and 'N' be '2x' years and '3x' years, respectively. So, (2x + 6) = (3x + 6) X 0.7 Or, 2x + 6 = 2.1x + 4.2 Or, 0.1x = 1.8 So, x = 18 So, present age of 'M' = 2x = 2 X 18 = 36 years And present age of 'O' = 36 + 5 = 41 years So, required ratio = 36:41
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