



 
Hi, I think the object of this problem is to have you set up two algebraic equations and then solve them but let's try something differen first. Think of two, nonnegative integers which have a sum of 4. What is their difference? If it is 2 you have found the answer, if not try two different nonnegative integers which have a sum of 4. In a couple of tries you should find the answer. Now let's try the algebraic approach. Suppost the larget if the two numbers is $x$ and the smaller is $y.$ The sum of the two integers is 4 so $x + y = 4.$ $x$ is the larger and the difference is 2 so $x  y = 2.$ Can you solve these two equations? Did you get the same answer as you did without algebra? I hope this helps.  


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