SOLUTION: If n= 3p, for what value of p is n = p? according to the answer provided on the back of the book, the answer is zero. However, i think the book is incorrect and the real answer

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Question 62017: If n= 3p, for what value of p is n = p?
according to the answer provided on the back of the book, the answer is zero. However, i think the book is incorrect and the real answer is 1/3.
How do you solve this question?

Found 3 solutions by stanbon, funmath, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If n= 3p, for what value of p is n = p?
according to the answer provided on the back of the book, the answer is zero. However, i think the book is incorrect and the real answer is 1/3.
--------
zero is the only answer.
If 1/3 was another answer, 1/3 would have to equal 3(1/3)
Then 1/3 would have to equal 1.
Since that is not true, 1/3 is not an answer.
However, zero is an answer because 0=(1/3)0
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
If n= 3p, for what value of p is n = p?
Let n=3p
3p=p
3p-p=p-p
2p=0
2p/2=0/2
p=0
:
This one was weird, I might not have given this one a try if you hadn't have indicated to answer from the book. Thanks for the brain teaser.
Happy Calculating!!!

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I have to go with the book answer because:
For p = 0
n+=+3%280%29
n+=+0 the same value as p!
For p = 1/3:
n+=+3%281%2F3%29
n+=+1 but p = 1/3...not the same!