What is the difference between two natural numbers written as only one digit if their sum is 89776?

Let the sum of the numbers a and b be given: a + b = 89776. Find the difference: a – b.

Obviously, the common digit for both numbers is 8, otherwise the most significant digit in the sum would not equal 8. Considering that the sum in each digit 8 + 8 gives the number 16, and taking into account the portable unit from the previous summation, the digit 9 is the unit of transfer from summation in the hundreds place.

And if we found out that the larger term is the number 88888, then the smaller term will have only the place of hundreds, that is, the smaller number is = 888.

Then we get: 88888 + 888 = 89776. A (a – b) = 88888 – 888 = 88000.