SOLUTION: The sum of two numbers is 31. The larger is 2 less than twice the smaller. Find the numbers.

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Question 111201: The sum of two numbers is 31. The larger is 2 less than twice the smaller. Find the numbers.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=31
y=2x-2 now substitute (2x-2) for y in the othere equation & solve for x.
x+(2x-2)=31
x+2x=31+2
3x=33
x=33/3
x=11 answer for the smaller number.
11+y=31
y=31-11
y=20 answer.
proof
11+20=31
31=31