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    Question

    M and S currently have ages in the ratio of 3:4. R's

    present age is 50% more than S's present age. The ratio of M's age one year from now to R's age three years ago is 5:9. Determine the current age of S.
    A 25 yrs Correct Answer Incorrect Answer
    B 18 yrs Correct Answer Incorrect Answer
    C 20 yrs Correct Answer Incorrect Answer
    D 32 yrs Correct Answer Incorrect Answer
    E 45 yrs Correct Answer Incorrect Answer

    Solution

    ATQ, Let the present ages of M & S are 3p years and 4p years, respectively. So the present age of R = 1.50 × 4p = 6p years According to question:  (3p + 1)/(6p - 3) = 5/9 27p + 9 = 30p - 15 3p = 24,  p = 8 So the present age of 'S' = 8 × 4 = 32 years

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