Difference between revisions of "2002 AMC 8 Problems/Problem 3"

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==Problem 3==
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==Problem==
  
 
What is the smallest possible average of four distinct positive even integers?
 
What is the smallest possible average of four distinct positive even integers?
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==Solution==
 
==Solution==
In order to get the smallest possible average, we want the 4 even numbers to be as small as possible. The first 4 positive even numbers are 2, 4, 6, and 8. Their average is <math>\frac{2+4+6+8}{4}=\boxed{5}</math>.
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In order to get the smallest possible average, we want the 4 even numbers to be as small as possible. The first 4 positive even numbers are 2, 4, 6, and 8. Their average is <math>\frac{2+4+6+8}{4}=\boxed{\text{(C)}\ 5}</math>.
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2002|num-b=2|num-a=4}}
 
{{AMC8 box|year=2002|num-b=2|num-a=4}}

Revision as of 17:45, 23 December 2012

Problem

What is the smallest possible average of four distinct positive even integers?

$\text{(A)}\ 3 \qquad \text{(B)}\ 4 \qquad \text{(C)}\ 5 \qquad \text{(D)}\ 6 \qquad \text{(E)}\ 7$


Solution

In order to get the smallest possible average, we want the 4 even numbers to be as small as possible. The first 4 positive even numbers are 2, 4, 6, and 8. Their average is $\frac{2+4+6+8}{4}=\boxed{\text{(C)}\ 5}$.

See Also

2002 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions