Jun 16 09:00 PM PDT  10:00 PM PDT For a score of 4951 (from current actual score of 40+). AllInOne Standard & 700+ Level Questions (150 questions) Jun 18 09:00 PM EDT  10:00 PM EDT Strategies and techniques for approaching featured GMAT topics. Tuesday, June 18th at 9 pm ET Jun 18 10:00 PM PDT  11:00 PM PDT Send along your receipt from another course or book to info@empowergmat.com and EMPOWERgmat will give you 50% off the first month of access OR $50 off the 3 Month Plan Only available to new students Ends: June 18th Jun 19 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. Jun 22 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jun 23 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 02 Mar 2018
Posts: 66
Location: India
GPA: 3.1

If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
Updated on: 30 Jul 2018, 21:23
Question Stats:
76% (02:19) correct 24% (02:39) wrong based on 113 sessions
HideShow timer Statistics
If \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\), what is the value of y in terms of x? A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by gsingh0711 on 30 Jul 2018, 15:59.
Last edited by Bunuel on 30 Jul 2018, 21:23, edited 2 times in total.
Renamed the topic and edited the question.



Math Expert
Joined: 02 Aug 2009
Posts: 7742

If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
30 Jul 2018, 21:11
gsingh0711 wrote: If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?
A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8 Poor question at the first look itself.. All the choices have coefficient of X and y same as y=X or y=X+2 But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\) If it is Question is \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})................... 3^{y3}(3^4+3+1)=85(3^{X+5}................... 3^{y3}*85=85*3^{X+5}...................... 3^{X+5}=3^{y3}\) Equating the powers x+5=y3.......y=x+8 D
_________________



Manager
Joined: 02 Mar 2018
Posts: 66
Location: India
GPA: 3.1

Re: If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
30 Jul 2018, 16:00
Explanation:
3y+1+3y−2+3y−3=85(3x+5)
⇒ 3y(31+3−2+3−3)=85(3x+5)
⇒ 3y(3+19+127)=85(3(x+5)) )
⇒ 3y(8527)=85(3(x+5))
⇒ 3y=27(3x+5)=33×3x+5
⇒ 3y=3x+8
⇒ y = x + 8
Answer: D.
I think, I deserve a kudus LoL



Math Expert
Joined: 02 Sep 2009
Posts: 55614

Re: If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
30 Jul 2018, 21:24
chetan2u wrote: gsingh0711 wrote: If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?
A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8 Poor question at the first look itself.. All the choices have coefficient of X and y same as y=X or y=X+2 But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\) Yes. The formatting in the question as well in the "solution" was all messed up. I guess the guy just copy pasted both from some source without checking. I fixed it.
_________________



Director
Joined: 27 May 2012
Posts: 800

Re: If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
28 Aug 2018, 03:23
gsingh0711 wrote: If \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\), what is the value of y in terms of x?
A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8 Dear Moderator, Found this PS question , in the DS section, hope you will do the needful. Thank you.
_________________



Math Expert
Joined: 02 Aug 2009
Posts: 7742

Re: If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
28 Aug 2018, 08:04
dave13 wrote: chetan2u wrote: gsingh0711 wrote: If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?
A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8 Poor question at the first look itself.. All the choices have coefficient of X and y same as y=X or y=X+2 But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\) If it is Question is \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})................... 3^{y3}(3^4+3+1)=85(3^{X+5}................... 3^{y3}*85=85*3^{X+5}...................... 3^{X+5}=3^{y3}\) Equating the powers x+5=y3.......y=x+8 D chetan2u can you please explain how from this \(3^{y3}(3^4+3+1)=85(3^{X+5}\) you got this \(3^{y3}*85=85*3^{X+5}\) ? what happened to this \((3^4+3+1)\) ? Hi.. 3^4+3+1=81+3+1=85 So 3^4+3+1 is replaced with 85
_________________



Senior Manager
Joined: 12 Sep 2017
Posts: 262

If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
Updated on: 10 Feb 2019, 21:40
\(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\)
\(3^{y + 1} ( 1 + 3^{− 3} + 3^{− 4}) = (5)(17)(3^{x + 5})\)
\(3^{y + 1} ( 1 + {1/27} + {1/81}) = (5)(17)(3^{x + 5})\)
\(3^{y + 1} ( {85/81}) = (5)(17)(3^{x + 5})\)
\(3^{y + 1} ( 85 * 3^{− 4}) = (85)(3^{x + 5})\)
y + 1 + (  4 ) = x + 5
y = x + 8
D



VP
Joined: 09 Mar 2018
Posts: 1004
Location: India

If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
10 Feb 2019, 21:31
gsingh0711 wrote: If \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\), what is the value of y in terms of x?
A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8 \(3^y\) [ 3 + 1/9 +1/27 ] = 85 \((3^{x + 5})\) take \(3^y\) common \(3^y\) [ 85/27] = 85 \((3^{x + 5})\) \(3^y\) = \((3^{x + 8})\) y = x+8 D
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.
Quote which i can relate to. Many of life's failures happen with people who do not realize how close they were to success when they gave up.



Manager
Joined: 02 Mar 2018
Posts: 66
Location: India
GPA: 3.1

Re: If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
31 Jul 2018, 04:12
Bunuel wrote: chetan2u wrote: gsingh0711 wrote: If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?
A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8 Poor question at the first look itself.. All the choices have coefficient of X and y same as y=X or y=X+2 But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\) Yes. The formatting in the question as well in the "solution" was all messed up. I guess the guy just copy pasted both from some source without checking. I fixed it. I think system failed the read the raised to the powers and that is why formatting looked messed up.



Math Expert
Joined: 02 Sep 2009
Posts: 55614

Re: If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
28 Aug 2018, 04:59
stne wrote: gsingh0711 wrote: If \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\), what is the value of y in terms of x?
A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8 Dear Moderator, Found this PS question , in the DS section, hope you will do the needful. Thank you. ___________________ Done. Thank you.
_________________



VP
Joined: 09 Mar 2016
Posts: 1279

If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
28 Aug 2018, 06:30
gsingh0711 wrote: Explanation:
3y+1+3y−2+3y−3=85(3x+5)
⇒ 3y(31+3−2+3−3)=85(3x+5)
⇒ 3y(3+19+127)=85(3(x+5)) )
⇒ 3y(8527)=85(3(x+5))
⇒ 3y=27(3x+5)=33×3x+5
⇒ 3y=3x+8
⇒ y = x + 8
Answer: D.
I think, I deserve a kudus LoL gsingh0711 hey there thank you for your explanation To deserve kudos please make explanation clear and math friendly (explain with words step by step) Use math formatting tools express exponent like this \(3^2\)



VP
Joined: 09 Mar 2016
Posts: 1279

If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
28 Aug 2018, 07:49
chetan2u wrote: gsingh0711 wrote: If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?
A. x B. x + 2 C. x − 2 D. x + 8 E. x − 8 Poor question at the first look itself.. All the choices have coefficient of X and y same as y=X or y=X+2 But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\) If it is Question is \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})................... 3^{y3}(3^4+3+1)=85(3^{X+5}................... 3^{y3}*85=85*3^{X+5}...................... 3^{X+5}=3^{y3}\) Equating the powers x+5=y3.......y=x+8 D chetan2u can you please explain how from this \(3^{y3}(3^4+3+1)=85(3^{X+5}\) you got this \(3^{y3}*85=85*3^{X+5}\) ? what happened to this \((3^4+3+1)\) ?



Intern
Joined: 20 Jan 2019
Posts: 2

Re: If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
Show Tags
24 Mar 2019, 04:53
3^Y•3 + 3^Y•3^2 + 3^Y•3^3 = 85•3^X•3^5 3^Y ( 3 + 1/9 +1/27) =85•3^5•(3^X) 3^Y (85/27) = 85•3^5•(3^X) 3^Y = 3^3•3^5•3^X Y= 3+5 +X Y = X +8
Answer D




Re: If 3^(y + 1) + 3^(y − 2) + 3^(y − 3) = 85(3^(x + 5), what is the value
[#permalink]
24 Mar 2019, 04:53






