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Given any positive even integer, x, the positive difference between the smallest odd number greater than 9x - 2 and the largest odd number less than 8x + 3 can be written in the form ax + b. What is a + b?

 Jun 20, 2022
 #1
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a + b = 21.

 Jun 20, 2022
 #2
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If x is a positive even integer then so is 9x -2, so the smallest odd number greater than this must be 9x-2+1 = 9x-1

Similarly, 8x+3 must be an odd number, so the largets odd number less than this must be 8x+3-2 = 8x + 1

 

Can you finish from here?

 Jun 20, 2022

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