WyzAnt.comIf the sum of three consecutive odd integers is 105, what is the smallest of the three integers
If the sum of three consecutive odd integers is 105, what is the smallest of the three integers
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2 Answers
Three consecutive odd intergers can be identified as x, x+2, x+4 so,
x + (x+2) + (x+4) = 105
3x + 6 = 105
3x = 99
x = 33 So, you come to a solution of 33, 35, 37
how about 105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.
Comments
Your approach is good. But you need to explain why.
The median of any arithmetic squence equals to the mean. That's the reason.
- Robert J. 1/5/2013