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If tom is thinking of two numbers their sum is 22 and the difference is 12 what are the numbers?
Wiki User
∙ 15y ago
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)
Wiki User
∙ 15y ago
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