Assume that p,q, and r are positive integers satisfying the following conditions (1) p>q>r, (2) p,q, and are all primes (3) p-q=r. This information is sufficient to determine the value of which of them?
a) none of them
b) p only
c) q only
d) r only
e) p,q, and r
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OpenStudy (anonymous):
i am confused
are p and q primes, or is r a prime also?
OpenStudy (anonymous):
oh yeah sorry
OpenStudy (anonymous):
which is it? is r a prime?
OpenStudy (anonymous):
Yes p,q, and r are all primes
OpenStudy (anonymous):
ok here is a huge hint
if p and q are prime numbers, then if they are odd numbers
what kind of number do you get when you subtract two odd numbers?
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OpenStudy (anonymous):
odd?
OpenStudy (anonymous):
No even
OpenStudy (freckles):
7-5?
21-19?
in general (2k+1)-(2i+1)=2k+1-2i-1=2(k-i)
k-i is an integer and 2 times any integer gives us an even number
OpenStudy (anonymous):
Ok thank u
OpenStudy (anonymous):
So the answer is D) r only right?
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OpenStudy (freckles):
do you know what r is?
OpenStudy (freckles):
Just for fun.
OpenStudy (anonymous):
Nvm then...
OpenStudy (freckles):
Well you are given r is even and r is also prime
OpenStudy (anonymous):
Ok thanks >-<
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OpenStudy (freckles):
So that can only make r what?
OpenStudy (anonymous):
prime?
OpenStudy (freckles):
like what number is even and prime
OpenStudy (anonymous):
2
OpenStudy (freckles):
isn't r prime?
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OpenStudy (freckles):
yes
OpenStudy (anonymous):
ooh ooh i know pick me!
OpenStudy (anonymous):
xD
OpenStudy (anonymous):
Can u also help me with another problem? I asked my brother and he also said he doesnt know..
OpenStudy (anonymous):
r is prime, r is even, so r is ...
p and q could be any twin primes
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