Last visit was: 18 May 2024, 21:38 It is currently 18 May 2024, 21:38
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If a, b, and c are different constants, how many different numbers y

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93334
Own Kudos [?]: 624835 [6]
Given Kudos: 81900
Math Expert
Joined: 02 Sep 2009
Posts: 93334
Own Kudos [?]: 624835 [2]
Given Kudos: 81900
General Discussion
Manager
Joined: 25 Oct 2017
Posts: 115
Own Kudos [?]: 44 [3]
Given Kudos: 682
GMAT Focus 1:
655 Q87 V80 DI80
GMAT 1: 690 Q49 V35
Senior Manager
Joined: 21 Nov 2021
Posts: 445
Own Kudos [?]: 220 [0]
Given Kudos: 354
Re: If a, b, and c are different constants, how many different numbers y [#permalink]
The key is to recognize that when the question says "constants" it means that there is only one set of constants, not an infinite number of them.

Posted from my mobile device
Intern
Joined: 25 Jul 2020
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 9
Re: If a, b, and c are different constants, how many different numbers y [#permalink]
Hey, I'm unable to understand the answer. Ideally, if a=0, won't the whole equation collapse as it will make b=c, which is not possible because they are different constants. So shouldn't we eliminate a=0 case as a whole?
Intern
Joined: 29 Apr 2022
Posts: 5
Own Kudos [?]: 0 [0]
Given Kudos: 1
Re: If a, b, and c are different constants, how many different numbers y [#permalink]
­Since the equasion is valid a*y + b = C, isn' t it assumed that a is not equal to zero, since b and c are different and hence the answer being 1.
Math Expert
Joined: 02 Sep 2009
Posts: 93334
Own Kudos [?]: 624835 [0]
Given Kudos: 81900
Re: If a, b, and c are different constants, how many different numbers y [#permalink]
anchal02kansal wrote:
Hey, I'm unable to understand the answer. Ideally, if a=0, won't the whole equation collapse as it will make b=c, which is not possible because they are different constants. So shouldn't we eliminate a=0 case as a whole?

­
aniruddharora wrote:
­Since the equasion is valid a*y + b = C, isn' t it assumed that a is not equal to zero, since b and c are different and hence the answer being 1.

Imagine a game where a, b, and c stand for some constants, but we don't know which ones. Next, a host writes an equation: ay + b = c and asks how many values of y can satisfy this equation. As shown in the solution, if a = 0, then there is no such y for ay + b = c to hold. If a is not 0, then there is one value of y such that a*y + b = c holds.­
Intern
Joined: 29 Apr 2022
Posts: 5
Own Kudos [?]: 0 [0]
Given Kudos: 1
Re: If a, b, and c are different constants, how many different numbers y [#permalink]
Got it , I assumed that the equation must be satisfied not like for what value of y will it be satisfied

Posted from my mobile device
Re: If a, b, and c are different constants, how many different numbers y [#permalink]
Moderators:
Math Expert
93334 posts
Senior Moderator - Masters Forum
3137 posts