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Mary's age is 2/3 that of peter's. Two years ago Mary's age was 1/2 of what Peter's age will be in 5 year's time. How old is peter now?

  • Math -

    Let P=peter's age, and
    M=Mary's age.

    M=(2/3)P.... (1)
    Two years ago, Mary's age was M-2, and it was what Peter's age will be in 5 years time (P+5)/2
    Therefore
    M-2 = (P+5)/2
    Substitute M from (1)
    (2/3)P-2 = (P+5)/2
    Solve for P to get P=27, and M=18

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