SOLUTION: the average of 7 consecutive even numbers is 42. What is the smallest number?

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Question 858624: the average of 7 consecutive even numbers is 42. What is the smallest number?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
the average of 7 consecutive even numbers is 42. What is the smallest number?
1.  smallest even number =  x
2.      next even number =  x+2
3.      next even number =  x+4
4.      next even number =  x+6
5.      next even number =  x+8
6.      next even number =  x+10
7.      last even number =  x+12
--------------------------------
                     sum = 7x+42

   Average = sum%2F7 = %287x%2B42%29%2F7 = 7x%2F7%2B42%2F7 = x+6 = 42
                                          x = 36


Answer: 36

Checking:

%2836%2B38%2B40%2B42%2B44%2B46%2B48%29%2F7 = 294%2F7 = 42

Edwin