Find the value of two numbers if their sum is 19 and their difference is 1

Since the difference of the two numbers is 1, we take 1 away from their sum, so that both the numbers are the same:
19 - 1 = 18

Since both of the numbers are the same now, we divide the numbe by 2 to get the smaller number:
18 ÷ 2 = 9

The difference between the two numbers is 1, so we add 1 to the smaller number to find the bigger number:
9 + 1 = 10


The numbers are 9 and 10.