Two numbers total 52 and have a difference of 26. Find the two numbers.

Let the numbers be m and n. Then m+n=52 and m-n=26. Find m and n.

Add the 2nd equation to the first. Then 2m = 78, and m=39.

Then n = m-26 = 39-26 = 13.

Check: do 13 and 39 add up to 52? YES

Is 39 26 more than 13? YES

The two numbers are 13 and 39.