The sum of two integers is 56 and their difference is 4. what are the two integers

Let then we have a system of equations.

First the sum of a and b is 56.

a + b = 56

Second the difference of a and b is 4.

a - b = 4

From here our system of equations is,

We can solve it using the elimination. If you add both of the equations the b terms cancel out hence,

Now that we have a value of a we can calculate b. Just pick one equation from the system.

And the solutions to the system are two positive integers

Hope this helps!

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