SOLUTION: The sum of two numbers is 26. Twice the first plus half the second is 10. Find the numbers.

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Question 1011503: The sum of two numbers is 26. Twice the first plus half the second is 10. Find the numbers.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x and y
if the sum of two numbers is 26, we have
x%2By=26...solve for x
x=26-y.......eq.1
if twice the first (2x) plus half the second (y%2F2) is 10, we have
2x%2By%2F2=10...............substitute x from eq.1
2%2826-y%29%2By%2F2=10......solve for y
52-2y%2By%2F2=10
52-4y%2F2%2By%2F2-10=0
42-3y%2F2=0
42=3y%2F2
84=3y
84%2F3=y
highlight%28y=28%29
go to x=26-y.......eq.1 and plug in y
x=26-28
highlight%28x=-2%29
so, your numbers are highlight%28-2%29 and highlight%2828%29