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Anonymous

4y ago

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If tom is thinking of two numbers their sum is 22 and the difference is 12 what are the numbers?

Tom is thinking of two numbers? OK, we'll call them A and B. We know the sum (adding) is 22. So, A + B = 22. The difference (subtracting) is 12, so A - B = 12 Let's use substitution to help us. Solve one equation for a variable, A or B. It doesn't matter. A + B = 22 A = 22 - B So A = 22 - B. We can plug this value of A into our other equation to figure out what B is. A - B = 12 (remember to use parenthesis when you substitute) (22 - B) - B = 12 And simplify. 22 -2B = 12 2(11-B) = 12 11-B = 6 -B = -5 B = 5. Now that we found B, substitute it into either equation to find A. however, we have an equation that tells us what A is. A = 22 - B A = 22 - 5 A = 17. To check, plug A = 17 and B = 5 into both equations and see if it works. A + B = 22 17 + 5 = 22 22 = 22 (check) A - B = 12 17 - 5 = 12 12 = 12 (check)


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