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    Question

    Two numbers are in the ratio 5 ∶ 9. If each number is

    decreased by 8, the ratio becomes 1 ∶ 3. The numbers are:
    A 40 and 35 Correct Answer Incorrect Answer
    B 40 and 24 Correct Answer Incorrect Answer
    C 55 and 25 Correct Answer Incorrect Answer
    D 65 and 15 Correct Answer Incorrect Answer
    E Data inadequate Correct Answer Incorrect Answer

    Solution

    ATQ, Given ratio: (x : y) = (5 : 9) (x/y) = 5/9 9x−5y = 0 (eqn1) New ratio after decreasing each number by 8:   Equating the two equations:   From eqn1,   x = (5y/9)     Substitute x in eqn2:         Substitute y = 24 in eqn1:  The numbers are 40 and 24.

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