SOLUTION: Matthew is 20 years younger than his father, Four years from now, the sum of their agea will be 44.

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Question 1166704: Matthew is 20 years younger than his father, Four years from now, the sum of their agea will be 44.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Matthew is 20 years younger than his father, Four years from now, the sum of their agea will be 44.
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Matthew is n years younger than his father. p years from now, the sum of their age will be t.
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system%28m=f-n%2C%28m%2Bp%29%2B%28f%2Bp%29=t%29

m%2Bf=t-2p
substitution
f-n%2Bf=t-2p
2f=t-2p%2Bn
highlight%28f=%28t-2p%2Bn%29%2F2%29-----formula for the father's age now

m%2Bf=t-2p
substitution
m%2Bm%2Bn=t-2p
2m=t-2p-n
highlight%28m=%28t-2p-n%29%2F2%29-------formula for Matthew's age now



Father, 28
Matthew, 8