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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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