SOLUTION: Find two numbers whose sum is 11 and whose difference between their squares is 33?

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Question 894886: Find two numbers whose sum is 11 and whose difference between their squares is 33?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=11
A%5E2-B%5E2=33
Substituting,
%2811-B%29%5E2-B%5E2=33
121-22B%2BB%5E2-B%5E2=33
-22B%2B121=33
-22B=33-121
-22B=-88
B=4
Then,
A%2B4=11
A=7