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

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Manager
Joined: 05 Jul 2006
Posts: 195

Kudos [?]: 81 [0], given: 0

if the tens digit x and the units digit y of a positive [#permalink]

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18 Oct 2006, 15:07
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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?

10-x
9-x
x+9
x-1
x+1

Kudos [?]: 81 [0], given: 0

Senior Manager
Joined: 31 Jul 2006
Posts: 440

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

Re: y in terms of x [#permalink]

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18 Oct 2006, 16:05
lan583 wrote:
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?

10-x
9-x
x+9
x-1
x+1

Well I thought of 12 and 21. so y=x+1

I only need to show 1 case to prove it right?

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

Intern
Joined: 27 Aug 2006
Posts: 18

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

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18 Oct 2006, 17:31
10x + y = n
10y + x = n+9

Solve this equation x = (n-1)/11 and
y = (n+10)/11
= (n-1)/11 + 1
= x + 1

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

Director
Joined: 23 Jun 2005
Posts: 838

Kudos [?]: 90 [0], given: 1

GMAT 1: 740 Q48 V42

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18 Oct 2006, 17:38
E

1. Since the difference between the two numbers is less than 10, the difference between the tens digits must be 1 or 0. Since it cannot be 0, it is 1.

2. yx > xy. So y>x.

Combining 1 and 2, y = x+1

Kudos [?]: 90 [0], given: 1

VP
Joined: 25 Jun 2006
Posts: 1161

Kudos [?]: 204 [0], given: 0

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18 Oct 2006, 18:22
E.

89 to 98. then u get hte answer.

Kudos [?]: 204 [0], given: 0

Manager
Joined: 31 Aug 2006
Posts: 210

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

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19 Oct 2006, 11:26
Original no. is xy . Number after interchanging is yx. Now as per the Q.
10x+y+9=10y+x
=> 9y=9x+9
=> y=x+1

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

Senior Manager
Joined: 13 Sep 2006
Posts: 279

Kudos [?]: 23 [0], given: 0

Location: New York

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19 Oct 2006, 12:01
E - pick numbers such as 23 and 32
_________________

"Never let the fear of striking out get in your wayâ€

Kudos [?]: 23 [0], given: 0

19 Oct 2006, 12:01
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# if the tens digit x and the units digit y of a positive

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