SOLUTION: The sum of two numbers is seventeen. The total of four times the smaller number and two times the larger number is forty-four. Find the two numbers.

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Question 261281: The sum of two numbers is seventeen. The total of four times the smaller number and two times the larger number is forty-four. Find the two numbers.
Found 2 solutions by rfer, CharlesG2:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
4x+2y=44
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x+y=17
y=17-x
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4x+2(17-x)=44
4x+34-2x=44
2x=10
x=5
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5+y=17
y=12

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is seventeen. The total of four times the smaller number and two times the larger number is forty-four. Find the two numbers
let x be one number and y be the other number
let y be larger than x
x + y = 17 (multiply by -2 and add to 2nd equation)
4x + 2y = 44
-2x - 2y = -34
2x + 0y = 10
2x = 10
x = 5
5 + y = 17
y = 12