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Question

My grandmother was 9 times older to me 18 years ago. She would be 3 times of my age 9 years from now. 9 years ago, what was the ratio of my age to that of my grandmother?

A 3:1 Correct Answer Incorrect Answer
B 1:5 Correct Answer Incorrect Answer
C 1:4 Correct Answer Incorrect Answer
D 2:5 Correct Answer Incorrect Answer
E 3:4 Correct Answer Incorrect Answer

Solution

Let my age 18 years ago be x years My grandmother’s age at that time = 9 x years My present age = (x + 18) years My grandmother’s present age = (9 x + 18) years According to question 3(x + 18 + 9) = (9 x + 18 + 9) 3 x + 81 = 9 x + 27 9 x - 3 x = 81 – 27 6 x = 54 x = 9 Now, ratio of ages 9 years ago = (x + 18 -9 )/(9x +18 - 9) = (9 + 18 - 9)/(9 × 9 + 18-9 )=18/90 = 1:5

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