Two number have a sum of 1212 and a difference 518. What are the two numbers?

Let b>a

b-a=518, so we can say that b=518+a then:

a+b=1212, using b found above in this we get:

a + (518+a) = 1212

2a+518=1212

2a=694

a=347, and since b=1212-a

b=865

So the two numbers are 865 and 347

The answers are 347 and 865. To solve this problem you set up two equations, x+y=1212 and x-y=518. You then get the second x by itself by adding y to both sides. You then have x+y=1212 and x=y+518. After this you substitute the x into the first equation and have y+518+y=1212. Then simplify to 2y=694 and y=347

Now that y=347 you put it in the original equation. Solve and get that x=865