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 Your Progress

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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

What is the value of │x + 7│? (1) │x + 3│= 14 (2) (x + 2)2 = 169

OA must be wrong here.

(1) \(|x+3|=14\) --> \(x=11\) or \(x=-17\), so \(|x+7|=18\) or \(|x+7|=10\); (2) \((x+2)^2=169\) --> \(x=11\) or \(x=-15\), so \(|x+7|=18\) or \(|x+7|=8\);

What is the value of │x + 7│? (1) │x + 3│= 14 (2) (x + 2)2 = 169

OA must be wrong here.

(1) \(|x+3|=14\) --> \(x=11\) or \(x=-17\), so \(|x+7|=18\) or \(|x+7|=10\); (2) \((x+2)^2=169\) --> \(x=11\) or \(x=-15\), so \(|x+7|=18\) or \(|x+7|=8\);

(1)+(2) \(|x+7|=18\). Sufficient.

Answer: C.

Many thanks again ... I this the OA I have are definitly wrong

What is the value of │x + 7│? (1) │x + 3│= 14 (2) (x + 2)2 = 169

I feel the answer should be E as in both the option we will get 2 different values of x.

Am I going wrong?

STAT1 |x+3| = 14 will give you two solutions x+3 = 14 and x+3 = -14 x = 11, -17 SO, NOT SUFFICIENT

STAT2 (x+2)^2 = 169 x+2 = +-13 x = -15, 11 So, NOT SUFFICIENT

If you take STAT1 and STAT2 together then there is only one value of x which satisfies both the Statements and is x=11 so, x=11 Hence, Answer will be C

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Together - (1) + (2) - We know the values x can take on between (1) and (2), therefore, putting them together we are able to cross of -15 and -11 because they are not common to both (1) and (2). We end up with x = 11

Statement 1: |x+3| = 14 When solving questions involving ABSOLUTE VALUE, there are 3 steps: 1. Apply the rule that says: If |x| = k, then x = k and/or x = -k 2. Solve the resulting equations 3. Plug in the solutions to check for extraneous roots

So, x+3 = 14 OR x+3 = -14 When we solve the two equations, we get x = 11 OR x = -17

NOTE: Although we got two different answers, we must check whether we get 2 different answers to the target question.

If x = 11, then |x + 7| = |11 + 7| = 18 If x = -17, then |x + 7| = |-17 + 7| = 10 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: (x+2)² = 169 This means EITHER (x+2) = 13 OR (x+2) = -13 When we solve the two equations, we get x = 11 OR x = -15 If x = 11, then |x + 7| = |11 + 7| = 18 If x = -15, then |x + 7| = |-15 + 7| = 8 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined Statement 1 tells us that |x + 7| = 18 OR 10 Statement 2 tells us that |x + 7| = 18 OR 8 So, if BOTH statements are true, then |x + 7| must equal 18 Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...