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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Working Backwards on a Number Problem

Geometry - Working Backwards on a Number Problem


Expert: Azeem Hussain - 5/18/2009

Question
I'm stuck on a geometry question and I dont understand it. Here's the question: A number is added to 4. The result is multiplied by 3. This new number is squared, and the result is 324. Find the original number.     The numbers to choose from are 1,2,or 3.       Can you help me? I've never had to work backwards on a problem before so I dont understand how to do this problem

Answer
Hi Nicole!

The easiest way to do this is to start at the last step and do the opposite of what is said.  (The formal solution would involve making a general equation and solving for the variable.)

"This new number is squared, and the result is 324."
(324)^(1/2)=18

"The result is multiplied by 3."
18/3=6

"A number is added to 4."
6-4=2

There you have it!  The number must be 2.  I'll take this opportunity to give you a useful tip.  If you have a time constraint, such as on a test, it would be faster to plug the choices in and see if the answer corresponds.  When the problem is relatively straightforward and you have five choices or less, this is usually the way to go.

Take care,
Azeem

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