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Set L contains exactly four consecutive, positive, odd integers. The sum of the greatest integer and twice the least integer is 39. What is the least integer in the set?

 Nov 12, 2019
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Let  the least integer  = 2n - 1

 

Let the greatest integer  = 2n + 5

 

So

 

(2n + 5)  + 2 (2n - 1)  = 39     simplify

 

6n + 3  = 39

 

6n =  36

 

n = 6

 

The least  integer is  2(6)  - 1  =    11

 

 

cool cool cool

 Nov 12, 2019

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