Posted by **ibrahim** on Friday, December 2, 2011 at 9:33am.

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 time .how old is peter now?

- math -
**drwls**, Friday, December 2, 2011 at 9:47am
Let M and P be their ages now.

M = (2/3) P

M - 2 = (P+5) /2

Now, rearrange the last equation.

2M - 4 = P + 5

2M - P = 9

4M - 2P = 18

From the first equation,

3M - 2P = 0

Subtract the last equation from the one before it.

M = 18

P = 27

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