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.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included!
08 Sep 2019, 22:57
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
45% (03:12) correct
55%
(03:16)
wrong
based on 31
sessions
History
Date
Time
Result
Not Attempted Yet
In a certain right triangle, the hypotenuse equals (x+z) while the other two sides are (x+y) and (y+z) for positive integers x, y, z.
If y+4=z and z>x, then compute x+y+z.
A. 12
B. 16
C. 20
D. 24
E. 28
If y+4=z and z>x, then compute x+y+z.
A. 12
B. 16
C. 20
D. 24
E. 28
Attachments
3c28c027fc.2d8b1a221a.oiHyH7.png [ 8.51 KiB | Viewed 2238 times ]
09 Sep 2019, 02:42
Kudos
Bookmarks
Using Pythagoras theorem and substituting y+4=z:
(x+y+4)^2 = (2y+4)^2 + (x+y)^2
Solving above equation, we will get:
y^2 = 2x-2y
y^2+2y =2x
y(y+2) = 2x
Now here y should be even
so substituting y=2,4,6.... and checking
So here only y= 2 will satisfy the condition of z>x
So we get y=2,x=4,z=6, sum is 12
Posted from my mobile device
(x+y+4)^2 = (2y+4)^2 + (x+y)^2
Solving above equation, we will get:
y^2 = 2x-2y
y^2+2y =2x
y(y+2) = 2x
Now here y should be even
so substituting y=2,4,6.... and checking
So here only y= 2 will satisfy the condition of z>x
So we get y=2,x=4,z=6, sum is 12
Posted from my mobile device
rocky620
Retired Moderator
Joined: 10 Nov 2018
Last visit: 11 May 2023
Posts: 476
Own Kudos:
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
WE:Other (Retail: E-commerce)
13 Sep 2019, 07:18
Kudos
Bookmarks
looking for officail / algebraic method
