GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jan 2019, 07:54

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

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

Author Message
Intern
Joined: 03 Jul 2018
Posts: 38
Location: India
GMAT 1: 560 Q47 V28
GMAT 2: 560 Q47 V28
GMAT 3: 560 Q47 V28
GMAT 4: 560 Q47 V28
GPA: 3.88
If the tens digit x and the units digit y of a positive integer n are  [#permalink]

### Show Tags

26 Jul 2018, 06:42
00:00

Difficulty:

(N/A)

Question Stats:

50% (00:13) correct 50% (01:37) wrong based on 2 sessions

### HideShow timer Statistics

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
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1923
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
Re: If the tens digit x and the units digit y of a positive integer n are  [#permalink]

### Show Tags

26 Jul 2018, 06:52
n = xy where x is the tens digit and y is the units digit

=> n = 10 * x + 1 * y = 10x + y

Reversed n is yx = 10 * y + 1 * x = 10y + x

Reversed n is 9 more than n

=> 10y + x = 9 + 10x + y

=> 10y - y = 9 + 10x - x

=> 9y = 9 + 9x

=> y = x + 1

Hence option E
_________________
Intern
Joined: 21 May 2017
Posts: 42
Re: If the tens digit x and the units digit y of a positive integer n are  [#permalink]

### Show Tags

26 Jul 2018, 06:54
E

n = 10x + y

Let m be the integer you get by reversing the digits

m = 10y + x

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

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Math Expert
Joined: 02 Sep 2009
Posts: 52284
Re: If the tens digit x and the units digit y of a positive integer n are  [#permalink]

### Show Tags

26 Jul 2018, 07:05
shard87 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 ?
(A) 10 - x
(B) 9 - x
(C) x + 9
(D) x - 1
(E) x + 1

Please search before posting: https://gmatclub.com/forum/if-the-tens- ... 28744.html
_________________
Re: If the tens digit x and the units digit y of a positive integer n are &nbs [#permalink] 26 Jul 2018, 07:05
Display posts from previous: Sort by