SOLUTION: the sum of two numbers is 50. two times the smaller number exceeds the larger number by 31. find the numbers

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Question 343325: the sum of two numbers is 50. two times the smaller number exceeds the larger number by 31. find the numbers
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be the two numbers.
A%2BB=50
.
.
.
2A=B%2B31
B=2A-31
Substitute into the first equation,
A%2B%282A-31%29=50
3A=81
highlight%28A=27%29
Then,
27%2BB=50
highlight%28B=23%29