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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 years tim. how old is peter now?

• math -

Mary is 14 and Peter is 23

To figure out Peter's age:

x=Peter's age

2/3(x-2)= 1/2(x+5) solve for x
2/3x - 4/3 = 1/2x + 5/2
2/3x-1/2x = 5/2+4/3
4/6x-3/6x=15/6+8/6
1/6x=23/6
X=23/6 / 1/6
X=23

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