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Math Help - words problems

  1. #1
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    words problems

    the greatest of 3 numbers is -8 times the smallest , and the remaining number is 10 more than the smallest.Find the the 3 numbers, given that the greastest is 16 times the sum of the others two numbers
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  2. #2
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    Quote Originally Posted by Panaboy
    the greatest of 3 numbers is -8 times the smallest , and the remaining number is 10 more than the smallest.Find the the 3 numbers, given that the greastest is 16 times the sum of the others two numbers
    Let x = smallest number
    y = other number
    z = greatest number

    z= -8(x) -------(i)
    y = x +10 -------(ii)
    z = 16(x+y) -------(iii)

    Substitute the y from (ii) into (iii),
    z = 16(x +x+10) = 16(2x +10) = 32x +160 -------(iv)
    Substitute the z from (i) into (iv),
    -8x = 32x +160
    -8x -32x = 160
    x = 160/(-40) = -4 -------answer.
    So,
    y = x+10 = -4+10 = 6 -------answer.
    z = -8x = -8(-4) = 32 ---------answer.

    Check,
    z = 32x +160
    32 =? 32(-4) +160
    32 =? -128 +160
    32 =? 32
    Yes, so, OK.
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  3. #3
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    thanks a lot
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