SOLUTION: Can someone help me solve this one ... What is the smallest number, greater than 50 that will evenly divide into the smallest of four consecutive odd whole numbers, which have an

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Question 1009672: Can someone help me solve this one ... What is the smallest number, greater than 50 that will evenly divide into the smallest of four consecutive odd whole numbers, which have an average of 186
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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S,S+2,S+4,S+6=four consecutive odd numbers
S=smallest of 4 consecutive odd numbers averaging 186.
.
Sum of 4 numbers that average 186 is 4(186)=744
S+(S+2)+(S+4)+(S+6)=744
4S+12=744
4S=732
S=183
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183/50=3.66
For one factor to be greater than 50,
the other must be less than 3.66 and greater than 0.
Trying 3:
183/3=61
ANSWER: The smallest number greater than 50 that will
divide into 183 is 61.