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hershpuri18885
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DS---Ratio

by hershpuri18885 Fri Jan 18, 2013 9:07 pm

What is the ratio of r to s?

(1) r + s = 7

(2) r2 - s2 = 7

Why not 2?Or B ||The answer is C ...
jnelson0612
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Re: DS---Ratio

by jnelson0612 Sat Jan 19, 2013 11:15 am

hershpuri18885 Wrote:What is the ratio of r to s?

(1) r + s = 7

(2) r2 - s2 = 7

Why not 2?Or B ||The answer is C ...


Hi hershpuri,
Okay, so if the problem is asking us the ratio of r to s then mathematically it is asking what is r/s?

So r could be 4 and s could be 3. r/s is 4/3.

Or r could be -4 and s could be 3. r/s is -4/3.

Once we have two answers using a statement we have proven insufficiency.

This one is similar to the one that you asked Tim about. Whenever you have even exponents you have to consider that you can have a positive and a negative value for the variable.

Let us know if you need help with seeing how we can solve with both statements together.
Jamie Nelson
ManhattanGMAT Instructor
hershpuri18885
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Re: DS---Ratio

by hershpuri18885 Thu Jan 24, 2013 10:00 am

Thanks Jamie !!!
hershpuri18885
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Re: DS---Ratio

by hershpuri18885 Thu Jan 24, 2013 10:10 am

i applied r2-s2= 7
(r+s)(r-s)=7
(4+3)(4-3)=7
7.1=7

let me try it with r=-4 and s=3
(-4+3)(-4-3)
(-1)(-7)
7=7

Thanks again...
jlucero
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Re: DS---Ratio

by jlucero Fri Jan 25, 2013 5:17 pm

Are you asking a question here or just showing your work? Just to be clear, you wrote 7.1=7, when it should be 7*1=7, but since r=4, s=3 OR r=-4, s=3, the ratio of r/s could be 4/3 or -4/3, meaning it's insufficient.
Joe Lucero
Manhattan GMAT Instructor