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A list of positive integers a, b, c, d, e where a < b

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Director
Joined: 03 Jul 2003
Posts: 652
A list of positive integers a, b, c, d, e where a < b [#permalink]

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29 Feb 2004, 20:48
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A list of positive integers a, b, c, d, e where a < b < c < d < e . The median is 50, mean is 60. What is the least possible value of e?
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Joined: 15 Dec 2003
Posts: 4288

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29 Feb 2004, 21:29
77
total value of 5 numbers is 60*5 = 300
median, c=50. In order to have e as low as possible, we have to put a and b as high as possible; a=48 b=49. Therefore, 300-50-49-48 = 153. Finally, to minize e, we have to make d as equal to e as possible. therefore, d=76 and e=77 (sum: 76+77=153)
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Best Regards,

Paul

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Joined: 30 Oct 2003
Posts: 1790
Location: NewJersey USA

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01 Mar 2004, 13:28
Hi Paul,

I love this one and only daring attempt. Very neat solution indeed.

Anand.
01 Mar 2004, 13:28
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