SOLUTION: The sum of two numbers is fourteen. The difference between two times the smaller and the larger is one. Find the two numbers

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Question 268900: The sum of two numbers is fourteen. The difference between two times the smaller and the larger is one. Find the two numbers
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
"The sum of two numbers is fourteen." A%2BB=14
"difference between two times the smaller and the larger is one" so A%3EB where 2B-A=1
now you have 2 equations use substitution method and solve.
_______________________________
A%2BB=14
2B-A=1
_______________________________
A%2BB=14
B=14-A
2%2814-A%29-A=1
28-2A-A=1
28-3A-28=1-28
-3A%2F-3=-27%2F-3
A=9
_______________________________
2B-9=1
2B=10
B=5
_______________________________
CHECK
A%2BB=14
9%2B5=14
14=14
CORRECT