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Two equations are needed to solve for two variables, and we have them.

Let one number=x and the other=y

x+y=22 and x*y=117

subtract y from both sides and you get x=22-y

substituting (22-y) in for x gives (22-y)*y=117

after you distribute the y, 22y-y2=117

the easiest step would be to add y2 to both sides and subtract 22y from both sides

22y=117+y2 0=y2-22y+117 factor to (y-13)(y-9)=0 so y=13 or 9

One of the numbers is 13 and the other is 9

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13y ago
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Q: The sum of two numbers is 22 and their product is 117 find the number?
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