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This can be written as a system of linear equations. In this case...

x + y = 46

x - y = 34

Add the two equations, and we get 2x = 80

Therefore, x = 40

Solve for y in either equation...

40 + y = 46

y = 6

And we have x =40, y = 6

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Q: What two numbers whose sum is 46 and whose difference is 34?
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