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?

sandwich Jul 28, 2023

#1**0 **

*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

_{.}

Bosco Jul 28, 2023

#2**0 **

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#3**-1 **

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