SOLUTION: If the sum of six consecutive odd integers is 372, what is the smallest of the six integers?

Question 1147033: If the sum of six consecutive odd integers is 372, what is the smallest of the six integers?
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.

The "stupid" straightforward way is to write an equation


    x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 372 


and to solve it.


That unique solution "x" will be your answer.



The more reasonable way is to divide 372 by 6,   = 62.


Then the three consecutive odd numbers in the DESCENDING order from 62 are 


    61, 59, 57,


giving you the answer 57.


CHECK.  57 + 59 + 61 + 63 + 65 + 67 = 372.   ! PRECISELY correct !

Solved.

------------------

The second method works quickly and nicely even if the problem asks you about, let say, 99 consecutive odd integer numbers.

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        As a polite (civilized) person, YOU MUST REACT.
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                As a polite (civilized) person, YOU MUST REACT.
                You MUST respond with your "THANKS".
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