Question

My grandfather’s age was seven times older to me 14 years ago. He would be two times of my age seven years from now. Seven years ago, what was the ratio of the age to that of my grandfather?

A 8:5 Correct Answer Incorrect Answer
B 11:13 Correct Answer Incorrect Answer
C 7:11 Correct Answer Incorrect Answer
D 4:13 Correct Answer Incorrect Answer
E 5:9 Correct Answer Incorrect Answer

Solution

Let my age 14 years ago be x years My grandfather’s age at that time = 7xyears My present age = (x+ 14) years My grandfather’s present age = (7x+ 14) years 2(x+ 14 + 7) = (7x+ 14 + 7) 2x+ 42 = 7x+ 21 5x= 21 x = 21/5 Seven years ago, ratio of ages => (x+14-7)/(7x+14-7) = (x+7)/(7x+7) => (21/5+7)/(7× 21/5+7) = (56/5)/(182/5) = 56: 182 => 4:13

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