SOLUTION: How do you find the answer: two numbers added together equal 56 and the difference of the same two numbers is 8. What is the best way to find this answer

Question 711370: How do you find the answer: two numbers added together equal 56 and the difference of the same two numbers is 8. What is the best way to find this answer
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
The best way to answer is through simple algebra. A bad way to answer is trial & error.

First translate into variables and expressions. two numbers, x, and y. Sum is 56, difference is 8.

x+y=56, and y-x=8, or x-y=8 depending on which you want as greater.

from y-x=8, add x to both sides getting y=8+x.
Substitute into the sum equation and solve for x.
x+(8+x)=56
x+8+x=6=56
2x=56-8
2x=48, x=6, so what is y?
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