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

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SVP
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What is the sum of the first 50 common numbers between the [#permalink] New post 12 Oct 2006, 15:43
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
Senior Manager
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Re: Sum of Intigers [#permalink] New post 12 Oct 2006, 16:54
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
VP
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 [#permalink] New post 12 Oct 2006, 17:40
agree with teh above. D is right.
Director
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Re: Sum of Intigers [#permalink] New post 12 Oct 2006, 17:56
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
Re: Sum of Intigers   [#permalink] 12 Oct 2006, 17:56
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