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# A set has 16 numbers. If a number is three times the average

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Manager
Joined: 19 Aug 2006
Posts: 212
A set has 16 numbers. If a number is three times the average [#permalink]

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09 Nov 2006, 02:28
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A set has 16 numbers. If a number is three times the average of the other 15 numbers, the number is what fraction of the sum of the total numbers?
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore

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09 Nov 2006, 02:31
Let the sum of the 15 numbers be x
Let the number be A

Then, A = x/15

Sum of total numbers = x+A

Fraction = A/x+A = (x/15)/x+(x/15) = 1/16
Manager
Joined: 03 Nov 2006
Posts: 161

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09 Nov 2006, 02:40
ywilfred wrote:
Let the sum of the 15 numbers be x
Let the number be A

Then, A = x/15

Sum of total numbers = x+A

Fraction = A/x+A = (x/15)/x+(x/15) = 1/16

Ywilfred, A=3x/15 so their sum is 18x/15

The fraction is therefore 1/6
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore

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09 Nov 2006, 02:45
hosam wrote:
ywilfred wrote:
Let the sum of the 15 numbers be x
Let the number be A

Then, A = x/15

Sum of total numbers = x+A

Fraction = A/x+A = (x/15)/x+(x/15) = 1/16

Ywilfred, A=3x/15 so their sum is 18x/15

The fraction is therefore 1/6

oops... hahaha.. yeah, thanks for pointing that out. the method is still the same though..
VP
Joined: 21 Aug 2006
Posts: 1016

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09 Nov 2006, 02:59
Let the average of 15 numbers is x
Average of 16th number is 3x
the proportion of 16th number = 3x/(3x+15x) = 1/6
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09 Nov 2006, 02:59
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