Question
Two years from now, the grandson's age will be 25% of
the grandfather's age. Three years ago, the grandfather's age was five times the grandson's age. Determine the current age of the grandson.Solution
3 years ago from now, let the age of the grandson and that of the grandfather be 'y' years and '5y' years, respectively 2 years hence from now, age of the grandfather = 5y + 3 + 2 = (5y + 5) years 2 years hence from now, age of the grandson = y + 3 + 2 = (y + 5) years According to the question, (5y + 5) = (y + 5) ÷ 0.25 Or, 5y + 5 = 4y + 20 So, y = 15 So, present age of the grandson = 15 + 3 = 18 years
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