Question
5 years ago from now, Raju said to Mohan, my age is
thrice your age. 8 years hence from now, Mohan said to Raju, my age is 50% less than yours. Find the present age of Mohan.Solution
5 years ago from now, Let the age of Mohan be x years Therefore, age of Raju = 3x years 8 years hence from now, Age of Raju = (2x + 5 + 8) = (3x + 13) years Age of Mohan = (x + 5 + 8) = (x + 13) years According to the question, 0.5 × (3x + 13) = x + 13 Or, 1.5x + 6.5 = x + 13 Or, 0.5x = 6.5 Or, x = 13 Therefore, present age of Mohan = x + 5 = 18 years
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