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    Three consecutive integers are such that when they are taken in increasing order and multiplied by 3, 5 and 2, respectively, they add up to 99. What i
    Question

    Three consecutive integers are such that when they are taken in increasing order and multiplied by 3, 5 and 2, respectively, they add up to 99. What is the sum of the original first and third integers?

    A.

    18

    B.

    20

    C.

    24

    D.

    16

    Correct option is B

    Let 3 consecutive integers: x, x+1, x+2
    As per the question: 3x+5(x+1)+2(x+2)=99
    10x+9=99
    10x=90
    x =9
    x+1=9+1=10
    x+2= 9+2 = 11
    the sum of the original first and third integers = 9+11 = 20

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