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Math

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Loretta's age now is twice John's age five years ago. In three years the sum of John's and Loretta's ages will be 50. How old are Loretta and John today?

  • Math - ,

    John's present age ---- x
    John's age 5 yrs ago = x-5

    Loretta's present age = 2(x-5)

    in 3 yrs from now:
    John = x+3
    Loretta = 2(x-5) + 3

    x+3 + 2(x-5)+3 = 50
    x+3 + 2x - 10 + 3 = 50
    3x = 54
    x = 18

    NOW:
    john = x = 18 yrs
    Loretta = 2(x-5) = 26 yrs


    check:
    5 years ago, John was 13, which is twice Loretta's present age. Checks out!
    in 3 yrs from now:
    john + loretta = 21 + 29 = 50, all is good!

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