SOLUTION: Please help me solve this problem, Thank you so much. One integers is 20 lees than another. The sum if the integers is forty. What are the two integers?

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Question 732411: Please help me solve this problem, Thank you so much.
One integers is 20 lees than another. The sum if the integers is forty. What are the two integers?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let integers be x and y
given: if x%3Cy, then
x%2B20=y.......eq.1
x%2By=40.......eq.2
____________________________solve system

x%2B20=y.......eq.1...solve for x
x=y-20..substitute in eq. 2

%28y-20%29%2By=40.......eq.2...solve for y
2y-20=40
2y=40%2B20
2y=60
y=60%2F2
highlight%28y=30%29
go back to x=y-20 and find x
x=30-20
highlight%28x=10%29