three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3,4 respectively, they add up to 74. fi

Question

three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3,4 respectively, they add up to 74. find these numbers​

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Cora 1 month 2021-08-19T06:58:18+00:00 2 Answers 0 views 0

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    0
    2021-08-19T06:59:53+00:00

    Step-by-step explanation:

    let the number be x

    (X*2)+ (X+1*3)+(X+2*4)=74

    2x+(3x+3)+(4x+8)=74

    9x+11=74

    9x=74-11

    9x=63

    then X=7

    hence the consecutive integers are 7,8 and 9

    please mark as brainliest

    0
    2021-08-19T06:59:56+00:00

    Answer:

    7 , 8 , 9

    Step by Step answer

    Let the three consecutive integers be x, x+1, x+2 in increasing order

    Multiply 2,3,4 respectively

    2(x)+3(x+1)+4(x+2)

    This adds up to 74

    2(x)+3(x+1)+4(x+2)=74

    2x+3x+3+4x+8=74

    9x+11=74

    9x=74-11=63

    X=63÷9=7

    Therefore the three consecutive integers are 7,8,9

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