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# math problem

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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

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