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Rex is 30 years younger than his father his mother is three times as old as her son find rex's age if his father is two years older than his mother?
Lets call them R for Rex, F for Father and M for Morther
F - 30 = R
M = 3R
F - 2 = M
If we subtract the third equation from the first one we get
F - 30 = R
F - 2 = M
------------
0 - 28 = R - M
or
M - R = 28
Now, if M = 3R we can substitute that into the above and we ger
3R - R = 28
2R = 28
R = 14
So, if Rex is 14, his mother is 3 x 14 = 42 and his father is 14 + 30 = 44 - which is 42 + 2.
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