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March 28, 2017

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If Kurt were 10 years old, he would be twise as old as his sister, and their combine ages would be 36. How old are Kurt and his sister?

  • algebra - ,

    Did you mean "If Kurt was 10 years older" ?
    The way you have it, Kurt is 10, his sister would have to be 5, but then their combined ages can't be 36

    If as I think it should be,
    let Kurt's present age be x
    let his sister's present age by y

    in 10 years ...
    Kurt = x+10
    sister = y +10
    we are told that Kurt is twice her age at that time ...
    x+10 = 2(y+10)
    x = 2y + 10

    also x+10 + y+10 = 36
    x + y = 16
    sub in x = 2y+10
    2y+10 + y = 16
    3y = 6
    y = 2 , then x = 14

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