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GMAT Problem Solving (PS) Questions

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Back to Forum Create Topic Reply What is the value of a + b? AccipiterQ AccipiterQ Joined: 26 Sep 2013 Last visit: 03 Sep 2020 Posts: 146 Concentration: Finance, Economics Schools: HBS '16 (D) Sloan '16 (D) Carroll '16 (WA$) Boston U '16 (A$) Northeastern '16 (A) GMAT 1: 670 Q39 V41GMAT 2: 730 Q49 V41 Schools: HBS '16 (D) Sloan '16 (D) Carroll '16 (WA$) Boston U '16 (A$) Northeastern '16 (A) GMAT 2: 730 Q49 V41 Posts: 146 Post URL Updated on: 21 Oct 2013, 07:50 Originally posted by AccipiterQ on 21 Oct 2013, 07:15. Last edited by Bunuel on 21 Oct 2013, 07:50, edited 1 time in total. Edited the question. Show timer 00:00 Start Timer Pause Timer Resume Timer Show Answer a5% b5% c81% d7% e2% A B C D E Hide Show History My Mistake Official Answer and Stats are available only to registered users. Register/Login. Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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Date Time Result Not Attempted Yet Attachment: crisscross.jpg [ 34.28 KiB | Viewed 12967 times ] What is the value of a + b?A) 30B) 50C) 55D) 65E) 90 ShowHide Answer Official Answer Official Answer and Stats are available only to registered users. Register/Login. 2 Kudos Add Kudos 4 Bookmarks Bookmark this Post AccipiterQ AccipiterQ Joined: 26 Sep 2013 Last visit: 03 Sep 2020 Posts: 146 Concentration: Finance, Economics Schools: HBS '16 (D) Sloan '16 (D) Carroll '16 (WA$) Boston U '16 (A$) Northeastern '16 (A) GMAT 1: 670 Q39 V41GMAT 2: 730 Q49 V41 Schools: HBS '16 (D) Sloan '16 (D) Carroll '16 (WA$) Boston U '16 (A$) Northeastern '16 (A) GMAT 2: 730 Q49 V41 Posts: 146 Post URL 21 Oct 2013, 07:35 here's my question: I solved it by taking 2a+5a+5=180, and solving for a, and then taking 2b-10+4b+10=180, and solving for b. I end up with b=30, and a=25.But I also thought, since the angles 2a and 2b-10 are opposite, they have to add to 180, yes? so why doesnt 2a+2b-10=180 also yield the correct answer; in this case you would get:2a+2b-10=1802a+2b=190a+b=95 Kudos Add Kudos Bookmarks Bookmark this Post Bunuel Bunuel Math Expert Joined: 02 Sep 2009 Last visit: 02 Mar 2026 Posts: 108,695 Products: Expert Expert reply Active GMAT Club Expert! Tag them with @ followed by their username for a faster response. Posts: 108,695 Post URL 21 Oct 2013, 08:09 AccipiterQWhat is the value of a + b?A) 30B) 50C) 55D) 65E) 90here's my question: I solved it by taking 2a+5a+5=180, and solving for a, and then taking 2b-10+4b+10=180, and solving for b. I end up with b=30, and a=25.But I also thought, since the angles 2a and 2b-10 are opposite, they have to add to 180, yes? so why doesnt 2a+2b-10=180 also yield the correct answer; in this case you would get:2a+2b-10=1802a+2b=190a+b=95Show more No. 2a and 2b-10 are opposite angles. Opposite angles are equal.Attachment: Vertical_Angles.svg.png [ 4.87 KiB | Viewed 11473 times ] _________________ New to the GMAT Club?

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Signature Read More 2 Kudos Add Kudos Bookmarks Bookmark this Post pacifist85 pacifist85 Joined: 07 Apr 2014 Last visit: 20 Sep 2015 Posts: 324 Status:Math is psycho-logical Location: Netherlands GMAT Date: 02-11-2015 WE:Psychology and Counseling (Other) Posts: 324 Post URL 14 Jan 2015, 15:00 But if you do it with the equal angles it doesn't give 55. Unless I have a mistake in the calculation that I don't see:2a=2b-10 a=b-5 [1]And:4b+10=5a+5 | substituting [1]4b+10=5(b-5)+54b+10= 5b-25+5b=40 [2]Substituting [2] into [1]:a=b-5a=40-5a=35a+b= 35+40=75. Kudos Add Kudos Bookmarks Bookmark this Post EMPOWERgmatRichC EMPOWERgmatRichC Major Poster Joined: 19 Dec 2014 Last visit: 31 Dec 2023 Posts: 21,782 Status:GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Expert Expert reply GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Posts: 21,782 Post URL 14 Jan 2015, 16:06 Hi pacifist85,You did make a small math mistake. Double check this line (and watch your "signs")...4b+10= 5b-25+5What does b equal?The rest of your logic and your overall approach are correct though.GMAT assassins aren't born, they're made,Rich Kudos Add Kudos Bookmarks Bookmark this Post pacifist85 pacifist85 Joined: 07 Apr 2014 Last visit: 20 Sep 2015 Posts: 324 Status:Math is psycho-logical Location: Netherlands GMAT Date: 02-11-2015 WE:Psychology and Counseling (Other) Posts: 324 Post URL 14 Jan 2015, 16:54 YUP, I SEE IT NOW THANX! Kudos Add Kudos Bookmarks Bookmark this Post Mo2men Mo2men Joined: 26 Mar 2013 Last visit: 09 May 2023 Posts: 2,429 Concentration: Operations, Strategy Schools: Erasmus (II) Products: Schools: Erasmus (II) Posts: 2,429 Post URL 17 Jun 2017, 17:15 AccipiterQAttachment:crisscross.jpgWhat is the value of a + b?A) 30B) 50C) 55D) 65E) 90Show more Opposite angles are equal2a = 2b - 10.........15a + 5 = 4b + 10...2solving 2 equationsa =25 & b=30a +b = 55Answer: C 1 Kudos Add Kudos Bookmarks Bookmark this Post sashiim20 sashiim20 Joined: 04 Dec 2015 Last visit: 05 Jun 2024 Posts: 608 Location: India Concentration: Technology, Strategy Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21 WE:Information Technology (Consulting) Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21 Posts: 608 Post URL 17 Jun 2017, 17:33 AccipiterQAttachment:crisscross.jpgWhat is the value of a + b?A) 30B) 50C) 55D) 65E) 90Show more Opposite Angles are equal.\(2a = 2b - 10\)\(a = b - 5\)\(b = a + 5\) -------- (i)Substituting (i) in (ii) we get;\(5a + 5 = 4b + 10\) ---------- (ii)\(5a + 5 = 4(a + 5) + 10\)\(5a + 5 = 4a + 20 + 10\)\(5a - 4a = 30 - 5\)\(a = 25\)Substituting value of \(a\) in (i), we get;\(b = a + 5\) -------- (i)\(b = 25 + 5 = 30\)Therefore, \(a + b = 30 + 25 = 55\) Answer (C)... Kudos Add Kudos Bookmarks Bookmark this Post Abhishek009 Abhishek009 Board of Directors Joined: 11 Jun 2011 Last visit: 17 Dec 2025 Posts: 5,915 Status:QA & VA Forum Moderator Location: India GPA: 3.5 WE:Business Development (Commercial Banking) Posts: 5,915 Post URL 18 Jun 2017, 07:51 AccipiterQAttachment:crisscross.jpgWhat is the value of a + b?A) 30B) 50C) 55D) 65E) 90Show more 2a + 5a + 5 = 180 = 4b + 10 + 2b - 10 Or, 7a + 5 = 180 = 6bOr, a = 25 & b = 30So, a + b = 55Answer will be (C) _________________ How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Signature Read More Kudos Add Kudos Bookmarks Bookmark this Post RastogiSarthak99 RastogiSarthak99 Joined: 20 Mar 2019 Last visit: 10 Aug 2024 Posts: 140 Location: India Posts: 140 Post URL 31 Aug 2022, 16:03 pretty straightforward. Use vertically opposite angle property and then its just algebrab = 30 ; a = 30-5 = 25a + b = 55C Kudos Add Kudos Bookmarks Bookmark this Post NEW TOPIC POST REPLY Question banks Downloads My Bookmarks Important topics Reviews Moderators: Bunuel Math Expert 108695 posts Krunaal Tuck School Moderator 833 posts

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