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there are two numbers that are 3 times as far from 19 as they are from 11. the sum of the two numbers is?

  • math - ,

    A little thought should make it clear that since x is farther from 11 than from 19,

    1. x is between 11 and 19
    2. x > 19

    If 11<x<19,
    x-11 = 3(19-x)
    x-11 = 57-3x
    4x = 68
    x = 17

    If x > 19,
    x-11 = 3(x-19)
    x-11 = 3x-57
    2x = 46
    x = 23

    check:
    17 is 6 from 11 and 2 from 19
    23 is 12 from 11 and 4 from 19

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