Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
vomhorizon
Joined: 03 Sep 2012
Last visit: 30 Mar 2018
Posts: 352
Given Kudos: 47
Location: United States
Concentration: Healthcare, Strategy
Schools: Duke '16 (A) McCombs '20 (A) Foster '20 (A)
GMAT 1: 730 Q48 V42
GPA: 3.88
WE:Medicine and Health (Healthcare/Pharmaceuticals)
14 Nov 2012, 08:34
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:29) correct
13%
(02:00)
wrong
based on 298
sessions
History
Date
Time
Result
Not Attempted Yet
The sum of the digits of a two digit number is 10. When the digits are reversed, the number decreases by 54. Find the changed Number.
(A) 28
(B) 19
(C) 37
(D) 46
(A) 28
(B) 19
(C) 37
(D) 46
Let the Units digit of the Number be Y and the Tens digit be X. The number can be represented as 10X + Y
According to the Question Stem: X + Y = 10
When the number is reversed we get 10Y+X as the new number.
According to the question stem: (10x+Y) - (10 Y + X) = 54 , Simplifying we get 9X - 9Y = 54 or 9 (X-Y) = 54 or X-Y = 6.
Putting this in the original equation we get two equations ; X + Y = 10 (1) and X - Y = 6 (2)
Solving 1 & 2 we get X = 8. Y comes out to 2 , and the Original Number is 82. The new number is 28 (A)
According to the Question Stem: X + Y = 10
When the number is reversed we get 10Y+X as the new number.
According to the question stem: (10x+Y) - (10 Y + X) = 54 , Simplifying we get 9X - 9Y = 54 or 9 (X-Y) = 54 or X-Y = 6.
Putting this in the original equation we get two equations ; X + Y = 10 (1) and X - Y = 6 (2)
Solving 1 & 2 we get X = 8. Y comes out to 2 , and the Original Number is 82. The new number is 28 (A)
14 Nov 2012, 10:14
Kudos
Bookmarks
a+b = 10
10a + b - 10b - a = 54
a-b = 6
a= 8, b = 2.
Reversed number is 28.
Kudos Please... If my post helped.
10a + b - 10b - a = 54
a-b = 6
a= 8, b = 2.
Reversed number is 28.
Kudos Please... If my post helped.
General Discussion
14 Nov 2012, 08:43
Kudos
Bookmarks
vomhorizon
Reversing digits gives a number 54 less than original => difference in digits =54/9 = 6
Only option A satsifies this.
Ans A it is.
