MAth grade 8

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

  • MAth grade 8 -

    Peter's present age ---> x
    Mary's present age ---> (2/3)x

    Mary's age two yrs ago = (2/3)x - 2
    Peter's age 5 yrs from now = x+5

    "Two years ago mary's age was 1/2 of what peter's age will be in 5 years time." ---> (2/3)x - 2 = (1/2)(x + 5)
    multiply by 6
    4x - 12 = 3x + 15
    x = 27

    Peter is now 27 and Mary is now 18

    check:
    Mary's age 2 yrs ago = 16
    Peter's age 5 yrs from now = 27+5 = 32
    Is 16 one-half of 32 ??
    Looks good

  • MAth grade 8 -

    thx

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