SOLUTION: The product of two numbers is 12. The sum of the larger number and twice the smaller number is 11. Find the two numbers.

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Question 1070352: The product of two numbers is 12. The sum of the larger number and twice the smaller number is 11. Find the two numbers.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let m and n be the two numbers. Then:
2m+n=11
n=11-2m
m(11-2m)=12
11m-2mē=12
2mē-11m+12=0
(2m-3)(m-4)=0
m=3/2 or 4
Since 11-2(4)=3, then m must be 3/2, and n must be 8. ☺☺☺☺