Question

    The sum of three numbers is 184. If the ratio of the first to the second is 3:4 and that of second to the third is 8:9 then the second number is? 

    A 70 Correct Answer Incorrect Answer
    B 64 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 60 Correct Answer Incorrect Answer
    E 80 Correct Answer Incorrect Answer

    Solution

    Let the three numbers be A, B and C. Now, A:B = 3:4 & B:C = 8:9 A: B: C = 24:32:36 A+B+C = 184 24k + 32k + 36k = 184 92k = 184 k = 2 Second number = B = 32 x 2 = 64

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