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Hagrid
The right answer for the question that is being asked and shown above is that:

Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37

So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
2x = 108
x = 54
y = 71 - 54
y = 17

So the two numbers are 54 and 17
RASEA23
Hey, Zsteffen96gmailcom!
First, I am terribly sorry to hear that your teacher dislikes you.
Now, on to the problem!
+71, 37

Its simple guess and check!
54, 17

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