Question
10 years ago, the age of ‘P’ was 50% more than the
age of ‘Q’. If the sum of their present ages is 75 years, find the present age of ‘P’.Solution
Let the present ages of ‘P’ and ‘Q’ be (x + 10) years and (y + 10) years, respectively. ATQ; x = 1.5 × y = 1.5y ………………. (1) Also, x + y = 55 ……………. (2) Putting x = 1.5y from equation (1), we have 1.5y + y = 55 Or, 2.5y = 55 So, y = 22 So, x = 55 – 22 = 33 Therefore, present age of ‘P’ = 33 + 10 = 43 years
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