SOLUTION: George is three times as old as Sam. Five years from now, the sum of their ages will be 46. a) Create an equation that represents the relationship between George's and Sam's ages

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Question 860376: George is three times as old as Sam. Five years from now, the sum of their ages will be 46.
a) Create an equation that represents the relationship between George's and Sam's ages five years from now.
b) Use your equation to determine their current ages.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +g+ = George's age now
Let +s+ = Sam's age now
---------------------------
(1) +g+=+3s+
(2) +g+%2B+5+%2B+s+%2B+5+=+46+
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(2) +g+%2B+s+%2B+10+=+46+
(2) +g+%2B+s+=+36+
-------------------------
(a)
(2) +%28+g+%2B+5+%29+%2B+%28+s+%2B+5+%29+=+46+
is the relationship of their ages in 5 yrs
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(b)
Substitute (1) into (2)
(2) +g+%2B+s+=+36+
(2) +3s+%2B+s+=+36+
(2) +4s+=+36+
(2) +s+=+9+
and
(1) +g+=+3s+
(1) +g+=+3%2A9+
(1) +g+=+27+
---------------
George is 27
Sam is 9