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# If the tens digit x and the units digit y of a positive

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Manager
Joined: 14 Dec 2005
Posts: 76
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If the tens digit x and the units digit y of a positive [#permalink]  26 Feb 2006, 09:43
If the tens digit x and the units digit y of a positive integer n are
reversed, the resulting integer is 9 more than n. What is y in terms of x ?
(A) 10 - x
(B) 9 - x
(C) x + 9
(D) x - 1
(E) x + 1
Intern
Joined: 08 Jan 2006
Posts: 27
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E.

From first statement:
x*10+y=n
When x and y are reversed:
y*10+x=n+9

Solving both equations:
10y+x=10x+y+9
9y=9x+9
y=x+1
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

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Before reverse n = 10x + y
After reverse number becomes 10y+x --> this is 9 more than n

10y+x-9 = 10x+y
9y = 9x+9
y = x+1

Ans E
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