SOLUTION: The sum of two numbers is 21. Three times the smaller number is two less than twice the larger number. Find the two numbers.

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Question 314485: The sum of two numbers is 21. Three times the smaller number is two less than twice the larger number. Find the two numbers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB=21
2.3%2AA=2%2AB-2
Multiply eq. 1 by 3,
3A%2B3B=63
Now substitute eq. 2,
2B-2%2B3B=63
5B-2=63
5B=65
highlight%28B=13%29
Then from eq. 1,
A%2B13=21
highlight%28A=8%29