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.
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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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Did your mother teach you ?
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