SOLUTION: alison is the mother And the coach of one of the students, Nelson. in 8 years, allison will be twice as old as her son will be then. Three years ago Allison was three times as old

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Question 1159084: alison is the mother And the coach of one of the students, Nelson. in 8 years, allison will be twice as old as her son will be then. Three years ago Allison was three times as old as Nelson was then. what are their ages now?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                NOW         IN 8 YEARS         3 YEARS AGO
Allison          x           x+8                 x-3
Nelson           y           y+8                 y-3

system%28x%2B8=2%28y%2B8%29%2Cx-3=3%28y-3%29%29
-
x%2B8=2y%2B16
x=2y%2B8------------you can use this to substitute into the 3-y.ago equation.

2y%2B8-3=3y-9
2y%2B5=3y-9
highlight%2814=y%29
and you can evaluate x.