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What is the sum of the first 50 common numbers between the

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Retired Moderator
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B
Joined: 05 Jul 2006
Posts: 1749

Kudos [?]: 442 [0], given: 49

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What is the sum of the first 50 common numbers between the [#permalink]

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New post 12 Oct 2006, 16:43
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the sum of the first 50 common numbers between the series 15,19,23....... and 14,19,24.........?

A) 25550
B) 24540
C) 24450
D) 25450
E) 25540

Kudos [?]: 442 [0], given: 49

Senior Manager
Senior Manager
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Joined: 31 Jul 2006
Posts: 440

Kudos [?]: 56 [0], given: 0

Re: Sum of Intigers [#permalink]

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New post 12 Oct 2006, 17:54
yezz wrote:
What is the sum of the first 50 common numbers between the series 15,19,23....... and 14,19,24.........?

A) 25550
B) 24540
C) 24450
D) 25450
E) 25540


series1 is every 4, series2 is every 5, so LCM is 20, so its 19, 39,59,79

so 19+49*20= 19+980=999

Avg*#of terms=sum, so 19+999/2 * 50 = 1018/2 * 50 = 509 * 50 = 25450
D

Kudos [?]: 56 [0], given: 0

VP
VP
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Joined: 25 Jun 2006
Posts: 1161

Kudos [?]: 203 [0], given: 0

 [#permalink]

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New post 12 Oct 2006, 18:40
agree with teh above. D is right.

Kudos [?]: 203 [0], given: 0

Director
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Joined: 23 Jun 2005
Posts: 838

Kudos [?]: 87 [0], given: 1

GMAT 1: 740 Q48 V42
Re: Sum of Intigers [#permalink]

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New post 12 Oct 2006, 18:56
yezz wrote:
What is the sum of the first 50 common numbers between the series 15,19,23....... and 14,19,24.........?

A) 25550
B) 24540
C) 24450
D) 25450
E) 25540


It's D.

Series with difference d1 =4 and d2=5
So, common terms will be with a difference of LCM of 4 and 5 =20

Sum of first 50 terms = 50/2(2*19 + (50-1)20)

Simplify to get
25450

Kudos [?]: 87 [0], given: 1

Re: Sum of Intigers   [#permalink] 12 Oct 2006, 18:56
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