Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 24 May 2015, 09:40

### 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 June
Open Detailed Calendar

# A three-digit number is such that when its reverse is subtra

Author Message
TAGS:
Manager
Joined: 25 Jan 2010
Posts: 108
Location: Calicut, India
Followers: 6

Kudos [?]: 101 [3] , given: 40

A three-digit number is such that when its reverse is subtra [#permalink]  10 Feb 2010, 05:42
3
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

62% (04:21) correct 38% (02:23) wrong based on 141 sessions
A three-digit number is such that when its reverse is subtracted from it, the result is 297. Also, thrice the tens digit is equal to the difference between its hundreds and units digits. How many possible values are there for the number?

(A) 4
(B) 5
(C) 7
(D) 8
[Reveal] Spoiler: OA

_________________

If u think this post is useful plz feed me with a kudo

Last edited by Bunuel on 25 Feb 2014, 06:16, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Math Expert
Joined: 02 Sep 2009
Posts: 27471
Followers: 4312

Kudos [?]: 42229 [6] , given: 5968

Re: Solve - Simple Equations Q#1 [#permalink]  10 Feb 2010, 06:00
6
KUDOS
Expert's post
4
This post was
BOOKMARKED
cleetus wrote:
Plz illustrate how to solve this equation question
1) A three-digit number is such that when its reverse is subtracted from it, the result is 297. Also, thrice the tens digit is equal to the difference between its hundreds and units digits. How many possible values are there for the number?

A) 4
B) 5
C) 7
D) 8

Hi, welcome to the Gmat Club.

Solution to your question is as follows:

Three digit number $$abc$$ can be represented as $$100a+10b+c$$, its reverse number would be $$cba$$ or $$100c+10b+a$$.

Given: $$100a+10b+c-(100c+10b+a)=297$$ --> $$a-c=3$$, this gives us 7 values for $$a$$ and $$c$$: {9,6}{8,5}{7,4}{6,3}{5,2}{4,1}{3,0}.

Also given: $$3b=a-c$$, from above we know $$a-c=3$$, hence $$3b=3$$ --> $$b=1$$, only one value for $$b$$.

So total of 7 such numbers are possible: {916}{815}{714}{613}{512}{411}{310}.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4925
Followers: 298

Kudos [?]: 54 [1] , given: 0

Re: Solve - Simple Equations Q#1 [#permalink]  25 Feb 2014, 04:24
1
KUDOS
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Director
Joined: 03 Aug 2012
Posts: 917
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 17

Kudos [?]: 330 [0], given: 322

Re: A three-digit number is such that when its reverse is subtra [#permalink]  19 Apr 2014, 07:39
abc - cba = 297

100a+10b+c - 100c - 10b - a = 297

99a-99c = 297

a-c = 3

also, 3b = a-c

b=1

Numbers abc

a1c

ac can take (9,6),(8,5),(7,4),(6,3),(5,2),(4,1),(3,0)

Hence 7
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

Re: A three-digit number is such that when its reverse is subtra   [#permalink] 19 Apr 2014, 07:39
Similar topics Replies Last post
Similar
Topics:
13 If a two-digit positive integer has its digits reversed, the 6 27 Dec 2012, 07:29
3 A number B is formed by reversing the two digit number A. Wh 4 20 Dec 2010, 09:08
The number k is a three-digit integer that has A as its 3 16 Oct 2010, 12:30
13 If a two-digit positive integer has its digits reversed, the 7 14 Apr 2007, 16:54
reflection of a +ve int is obtained by reversing its digits. 6 13 Jan 2007, 01:03
Display posts from previous: Sort by

# A three-digit number is such that when its reverse is subtra

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.