Question

The numbers 82, 90 and 168 are divided by a positive integer (a non-zero whole number), leaving remainders. If the sum of the three remainders is 25, what is the positive integer?

Answer 1

we should also know the remainders.

Answer 2

I am getting 21.

Answer 3

@FoolForMath wanna see your solution pls.

Answer 4

82 = n*x + a
90 = m*x + b
168 = k*x + c
a+b+c = 25
x - ?

Answer 5

three equasions and 7 variables

Answer 6

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

Answer 7

The numbers were small, i simply calculated one by one. The general problem is interesting. I need think about it.

Answer 8

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 one-by-one

Answer 9

@beknazar23 s solution is good enough.