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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 $9$. What is the least integer in the set?

 Jul 28, 2023
 #1
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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 $9$. What is the least integer in the set?    

 

Call that least number X.  Then the four consecutive odd integers are    

 

                                               (X),    (X + 2),    (X + 4),  and  (X + 6)   

 

                                               (X + 6) + (2)(X)  =  9    

 

                                                       X + 6 + 2X  =  9    

 

                                                                   3X  =  3   

 

                                                                     X  =  1    

 

check answer    

                                  7 + 2  =  9    

                                        9  =  9   

.

 Jul 28, 2023
 #2
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 Jul 28, 2023
 #3
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MarkFranklin  Jul 30, 2023
edited by MarkFranklin  Jul 31, 2023

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