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The sum of two numbers is 130 and their difference is 22 find the smaller number?
Wiki User
∙ 13y ago
The numbers are 76 and 54. Obviously the smaller one is 54.
So you learn something, please note that the way your teacher is probably expecting you to solve this is for you to set up the system.
(1) x + y = 130
(2) x - y = 22
The first sentence corresponds to the statement that "their sum is 130" and the second to the statement that "their difference is 22."
And then you add or subtract the two equations. If you add, you get
(1+2) 2x = 152, x = 76
If you subtract, you get
(1-2) 2y = 108, y = 54
Then plug in x or y to one of the equations and solve for y or x.
Wiki User
∙ 13y ago
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