SOLUTION: The sum of two numbers is less than or equal to 23 . The second number is 7 less than the first. What are the possible values for the first of the two numbers? I cannot come up wit

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Question 265521: The sum of two numbers is less than or equal to 23 . The second number is 7 less than the first. What are the possible values for the first of the two numbers? I cannot come up with an answer for this one and I am getting frustrated can someone please help me, thank you.
Answer by roseo(33)   (Show Source): You can put this solution on YOUR website!
x =the first number and the second number is x-7 so now we know that x+x-7 <23
By simplifying we have 2x-7 <23
Now let us solve this inequality by adding 7 to both sides
2x <30 and now divide both sides by 2
x<15
For the first number it must be less than or equal to 15.
Example: let us say that the number is 15 then the second number would be 8 and their sum would be 23. It works because 23 is less than or equal to 23.
Try 10 because 10 is less tha 15 and then the second number would be 3 and the sum of the two numbers is 13 which is less than 23.

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