MAth grade 8
posted by 17halimk .
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?

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 onehalf of 32 ??
Looks good 
thx
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