Question
My grandfather was 7 times older to me 14 years ago. He
would be 3.5 times of my age after 7 years from now. 7 years ago, what was the ratio of my age to that of my grandfather?Solution
Let my age 14 years ago be x years. My grandfather's age at that time = 7x years My present age = (x + 14) years My grandfather's present age = (7x + 14) years According to the question, 3.5(x + 14 + 7) = (7x + 14 + 7) 3.5x + 73.5 = 7x + 21 3.5x = 52.5 x = 15 Now, required ratio = (x + 14 - 7)/(7x + 14 - 7)Â => (15 + 7):(105 + 7) => 11:56Â
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