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Hi Katie, If you have read my response to other questions of this type you will know that I prefer a solution that doesn't use algebra. This example shows that for some problems you need the power of algebra. Suppose that the two numbers are $x$ and $y.$ The sum of these numbers is 7 so \[x + y = 7.\] You also know that their product is 2 so \[xy = 2.\] Solve the first equation for $y,$ substitute into the second equation and solve the resulting quadratic equation. I hope this helps, |
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