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

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Question 1147033: If the sum of six consecutive odd integers is 372, what is the smallest of the six integers?
Answer by ikleyn(52847) About Me  (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,  372%2F6 = 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.

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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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Hello,

yesterday and today i solved TENS problems for you giving you FIRST CLASS solutions.

But I did not get any "THANKS" for it.

When it happens, I start thinking for whom I work . . .


As a polite (civilized) person, YOU MUST REACT.
You MUST respond with your "THANKS".
Did your mother teach you ?


        As a polite (civilized) person, YOU MUST REACT.
        You MUST respond with your "THANKS".
        Did your mother teach you ?


                As a polite (civilized) person, YOU MUST REACT.
                You MUST respond with your "THANKS".
                Did your mother teach you ?