SOLUTION: The sum of two numbers is less than or equal to 18. The second number is 8 less than the first. What are the possible values for the first of the two numbers?

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Question 293277: The sum of two numbers is less than or equal to 18. The second number is 8 less than the first. What are the possible values for the first of the two numbers?





Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is less than or equal to 18. The second number is 8 less than the first. What are the possible values for the first of the two numbers?

Let F = first nuumber
Let S = second number

Then
system%28F+%2B+S+%3C=18%2C%0D%0AS+=+F+-+8%29

Substitute %28F-8%29 for S in F%2BS%3C=18

F%2B%22%5B%28F-8%29-S%29%5D%22%3C=18
F%2BF-8%3C=18
2F-8%3C=18
2F%3C=26
F%3C=13

The first number is less than or equal to 13.

Edwin