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maths

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The smallest of three consecutive integers is added to the largest, the result so obtained is 15 less than 4 times the middle integer. Find the integer.

  • maths - ,

    smallest --- x
    middle --- x+1
    largest --- x+2

    "smallest is added to the largest" ---> x+2 + x =2x+2
    4 times the middle = 4(x+1) = 4x+4

    2x+2 +15 = 4x+4
    -2x = -13
    x = 13/2
    but x has to be an integer, so there is no solution to your problem


    (notice that my solution does work if we let the 3 numbers be 6.5, 7.5, and 8.5
    check:
    add the first to the last: 6.5+8.5 = 15
    4 times the middle: 4(7.5) = 30
    is 15 less than 30 by 15 ? , YES )

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