One number is 5 less than another. their sum is 19. find the numbers.

5 and 7

Step-by-step explanation: The first sentence "one number is 5 less than another" tells us how we are going to set up our variables.

If we represent one of our two numbers as (X) the other number will then be (X - 5). Let's call (X) the larger number and (X - 5) the smaller number.

Now we can use our second sentence "Their sum is 19" to set up our equation.

X + (X - 5) = 19

2x - 5 = 19

    +5    +5

2x = 24

÷2   ÷2

 X = 12

Now if (X) the larger number is equal to 12 then (X - 5) the smaller number is (12 - 5) or 7.

Therefore, our two numbers are 5 and 7.