SOLUTION: the sum of finn's age and ellen's age is 40 years finn's age 10 years from now will be 1 year less than 4 times ellen's age 6 years ago . what are they present age

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Question 615570: the sum of finn's age and ellen's age is 40 years finn's age 10 years from now will be 1 year less than 4 times ellen's age 6 years ago . what are they present age
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let Finn's age now = +f+
Let Ellen's age now = +e+
+f+%2B+10+ = Finn's age 10 years from now
+e+-+6+ = Ellen's age 6 years ago
-------------
(1) +f+%2B+e+=+40+
(2) +f+%2B+10+=+4%2A%28+e+-+6+%29+-+1+
------------------------
(2) +f+%2B+10+=+4e+-+24+-+1+
(2) +4e+-+f+=+35+
(1) +e+%2B+f+=+40+
Add the equations
+5e++=+75+
+e+=+15+
and, since
(1) +e+%2B+f+=+40+
(1) +15+%2B+f+=+40+
(1) +f+=+25+
Finn's age now is 25
Ellen's age now is 15