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# If the average of 5 positive temperatures is x degrees

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Senior Manager
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If the average of 5 positive temperatures is x degrees [#permalink]  24 Oct 2006, 07:25
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If the average of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

a. 6x
b. 4x
c. 5x/3
d. 3x/2
e. 3x/5
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Re: PS: Averages [#permalink]  24 Oct 2006, 07:32
Hermione wrote:
If the average of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

a. 6x
b. 4x
c. 5x/3
d. 3x/2
e. 3x/5

A+B+C+D+E=5x
A is out
B is my answer remaining temp could be 0.4x and 0.6x IMHO not important
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Senior Manager
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Yurik79, how did you come out with B as the answer? Can you explain? Thanks...
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Try using simple numbers to test:

1+2+3+4+5 = 15 and therefore 3 would be the Average. So 3=x

The sume of the three largest number (3,4,5) is 12.

Hence 12=3(?) where 3=x

4x
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Senior Manager
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But if i use a diff set of numbers, i don't necessarily get 4x

say the numbers are {6,4,3,1,1}

6+4+3+1+1=15 and therefore 3 would also be the Average.

The sum of the three largest numbers (6,4,3) is 13.

Hence 13=3(?). You get 13/3(x) which isn't in the answer choices.
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Hermione wrote:
But if i use a diff set of numbers, i don't necessarily get 4x

say the numbers are {6,4,3,1,1}

6+4+3+1+1=15 and therefore 3 would also be the Average.

The sum of the three largest numbers (6,4,3) is 13.

Hence 13=3(?). You get 13/3(x) which isn't in the answer choices.

It is not necessary that you should get 4x. The question only asks "the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be ".
The others are not possible.
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