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

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Manager
Joined: 02 Apr 2006
Posts: 94
Followers: 1

Kudos [?]: 17 [0], given: 0

Q) K is an integer. If the sum of each digit numbers of this [#permalink]  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?
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 407

Kudos [?]: 2149 [0], given: 359

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
SVP
Joined: 29 Aug 2007
Posts: 2497
Followers: 57

Kudos [?]: 556 [0], given: 19

Re: (P/S) The sum of each digit numbers [#permalink]  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
SVP
Joined: 28 Dec 2005
Posts: 1583
Followers: 2

Kudos [?]: 88 [0], given: 2

can someone break it down a little more ?
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