When two numbers 34041 and 32506 are divided by the 3 digit number N the reminder is the same. What is this 3 digit number?
A) 297
B) 307
C) 367
D) 407
E) 453
A) 297
B) 307
C) 367
D) 407
E) 453
I`m having problems assigning notation for this problem.
say -x- is the three digit number
R is remainder
a=result for the first division
b=result for the second
34041/x=a+ R =>34041=x(a+R)
32506/x=b+R so 32506=x(b+R)
1535=xa+xR-xb-xR
1535=x(a-b)
I was a little confused here, expecting for something more specific. In conclusion, I checked the possible answers to see whichever of the numbers could be divided evenly by 1535.
It took melonger than 2 minutes, however.
Please let me know if you find out an easier way.
