The sum of two numbers is 59. The larger number is 19 more than the smaller number. What are the numbers?

The numbers are 20 and 39.

Step-by-step explanation:

The sum of two numbers is 59.

x + y = 59

The larger number is 19 more than the smaller number.

y = x + 19

What are the numbers?

Replace y with (x+19) in the 1st equation

x + (x+19) = 59

x+x = 59 - 19

2x = 40

x = 40 / 2 = 20

You can find the value of y

y = 59-x

y = 59-20

y = 39