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?
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
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