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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?
 one year ago
 one year ago
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?
 one year ago
 one year ago

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integralsabitiBest ResponseYou've already chosen the best response.0
we should also know the remainders.
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.0
@FoolForMath wanna see your solution pls.
 one year ago

beknazar23Best 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  ?
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.0
three equasions and 7 variables
 one year ago

beknazar23Best 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
 one year ago

FoolForMathBest 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.
 one year ago

beknazar23Best 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
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.0
@beknazar23 s solution is good enough.
 one year ago
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