Problem: The greatest integer that will divide , and and leave the same remainder is
Answer Choices:
A.
B.
C.
D. an odd multiple of 7 greater than 49
E. an even multiple of 7 greater than 98
Solution:
A number that divides two numbers and leaves the same remainder, divides their difference exactly. We seek the greatest integer that will divide the difference and the difference . The required common factor is or .