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Q) K is an integer. If the sum of each digit numbers of this

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Manager
Manager
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Joined: 02 Apr 2006
Posts: 94
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Kudos [?]: 10 [0], given: 0

Q) K is an integer. If the sum of each digit numbers of this [#permalink] New post 26 Nov 2007, 04:51
Q) K is an integer. If the sum of each digit numbers of this K is 350, and K =(10^n)- 38. What is the value of n?


The OA is 40. Anybody please show me how to get this?
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CEO
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
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Kudos [?]: 1795 [0], given: 358

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 [#permalink] New post 26 Nov 2007, 14:23
Expert's post
10^n=10000....000 (n is number of "0")

10^n-38=99...9962 ((n-2) is number of "9")

S=9*(n-2)+8=350=9*38+8

n-2=38

n=40
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Re: (P/S) The sum of each digit numbers [#permalink] New post 26 Nov 2007, 14:45
pretttyune wrote:
Q) K is an integer. If the sum of each digit numbers of this K is 350, and K =(10^n)- 38. What is the value of n?


The OA is 40. Anybody please show me how to get this?


n = x+2

350 = 9x +(6+2)
x= (350 - 8)/9
x= 342/9
x =38

so n = 40
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 [#permalink] New post 26 Nov 2007, 19:11
can someone break it down a little more ?
  [#permalink] 26 Nov 2007, 19:11
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Q) K is an integer. If the sum of each digit numbers of this

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