Question
Four years ago, the age of 'P' was 25% less than the
current age of 'Q'. 9 years ago, the average age of 'Q' and 'R' was 25 years. To find the current age of 'R', given that the average age of all three was 30 years one year ago, you need to calculate 'R's present age.Solution
Let, the present age of 'Q' be '4x' years So, present age of 'P' = {(4x X 0.75) + 4} = (3x + 4) years And, present age of 'R' = {(25 + 9) X 2} - 4x = (68 - 4x) years According to question; 3x + 4 + 4x + 68 - 4x = (30 X 3) + 3 Or, 3x + 72 = 90 + 3 Or, 3x = 93 - 72 Or, 3x = 21 x = 7 So, present age of 'R' = {68 - (4 × 7)} = (68 - 28) = 40 years
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