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apple_pi Group TitleBest ResponseYou've already chosen the best response.0
@ParthKohli any ideas?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Diophantine equations. Gotta hate them.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
I dont think the question is complete
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Well, do you need positive integer solutions?
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
Yep. Smallest positive
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Oh yeah, how do you define smallest \(a,b,c\)?
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
a b c are integers. no common factors
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
did u mean a+b+c to be smallest
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
that also works
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Oh, you need coprime a,b,c.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
Can someone explain me what the real question is?
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
what is the smallest amounts of 51 and 2 required to make a multiple of 84
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
lol, I have \(a = b = c= 0\). ;)
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
perhaps I should have mentioned positive :D
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
51*2 + 2*33=84*2
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
Oh wait...I did
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
@sauravshakya Nailed it.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
Note: a must be even
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.0
smallest amount of 52 // smallest amount of 2 // small amount of 52 and 2?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
\[51a + 2b \equiv 0\pmod{84}\]So yup, \(a\) can't be odd.
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.0
That means smallest a / smallest b/ smallest c / smallest a+b ?
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
8(51)+6(2) = 5(84)
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
So u want to find minimum value of a+b+c???
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
But they aren't coprime. :\
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
Oh whoops, then I didn't mean coprime As in like a,b,c don't have any common factors across the three of them
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
It's all good then guys :D
 one year ago
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