Question
7 years ago from now, Suresh said to Deepak, my age is
three times your age. 8 years hence from now, Deepak said to Suresh, my age is 50% less than yours. Find the present age of Deepak.Solution
7 years ago from now, Let the age of Deepak be x years Therefore, age of Suresh = 3x years 8 years hence from now, Age of Suresh = (3x + 7 + 8) = (3x + 15) years Age of Deepak = (x + 7 + 8) = (x + 15) years According to the question, 0.5 × (3x + 15) = x + 15 Or, 1.5x + 7.5 = x + 15 Or, 0.5x = 7.5 Or, x = 15 Therefore, present age of Deepak = x + 7 = 22 years
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