Question
Present age of ‘A’ is 50% more than that of ‘B’.
If 12 years hence from now, ‘B’ will be 11 years younger than ‘A’, then find the sum of present ages of ‘A’ and ‘B’.Solution
Let present age of ‘B’ be ‘x’ years Present age of ‘A’ = x × 1.50 = ‘1.50x’ years ATQ; (x + 12) + 11 = (1.50x + 12) Or, x + 23 = 1.50x + 12 Or, 11 = 0.50x Or, x = 22 So, present age of ‘B’ = 22 years And, present age of ‘A’ = 22 + 11 = 33 years Required sum = 22 + 33 = 55 years
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