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pythagoras123
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The numbers 82, 90 and 168 are divided by a positive integer (a nonzero whole number), leaving remainders. If the sum of the three remainders is 25, what is the positive integer?
 2 years ago
 2 years ago
pythagoras123 Group Title
The numbers 82, 90 and 168 are divided by a positive integer (a nonzero whole number), leaving remainders. If the sum of the three remainders is 25, what is the positive integer?
 2 years ago
 2 years ago

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integralsabiti Group TitleBest ResponseYou've already chosen the best response.0
we should also know the remainders.
 2 years ago

FoolForMath Group TitleBest ResponseYou've already chosen the best response.0
I am getting 21.
 2 years ago

integralsabiti Group TitleBest ResponseYou've already chosen the best response.0
@FoolForMath wanna see your solution pls.
 2 years ago

beknazar23 Group TitleBest ResponseYou've already chosen the best response.1
82 = n*x + a 90 = m*x + b 168 = k*x + c a+b+c = 25 x  ?
 2 years ago

integralsabiti Group TitleBest ResponseYou've already chosen the best response.0
three equasions and 7 variables
 2 years ago

beknazar23 Group TitleBest ResponseYou've already chosen the best response.1
you should add theses 3 equations, then you'll get: 340 = x*(n+m+k)+ 25, replace n+m+k = c(some positive integer like x) 315 = x*c
 2 years ago

FoolForMath Group TitleBest ResponseYou've already chosen the best response.0
The numbers were small, i simply calculated one by one. The general problem is interesting. I need think about it.
 2 years ago

beknazar23 Group TitleBest ResponseYou've already chosen the best response.1
my equation helps to reduce the candidate numbers: x = 3,5,7,21 only. because, there are only integer number. then you'll put these candidate numbers onebyone
 2 years ago

integralsabiti Group TitleBest ResponseYou've already chosen the best response.0
@beknazar23 s solution is good enough.
 2 years ago
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