One number is seven less than the other.

Question

One number is seven less than the other. Their sum is nineteen. Find the numbers.

Answer 1

Hi Stefani,

Let the larger number be x

Let the smaller number be x - 7

Now, we add these two expressions and set them equal to 19 according to the problem.

x + x - 7 = 19

2x - 7 = 19

2x = 26

x = 13 <------------The larger number

To determine the smaller number all we need do is to substitute the value of 13 for x.

x - 7

13 - 7 =

6 <----------The smaller number

Now, we need to check our work. Is 6 seven less than the larger number? Yes. Do the numbers add up to 19? Yes, they do.

I hope I have helped you and wish you a great week. Please feel free to leave feedback or ask any questions you may have by clicking the "Add Comment" prompt. Best!