If both 16 and 9 are divided by "n", the remainder is 2. What is "n"?

Answer 1

Another way to obtain the response:

If 16 and 9 are divided by "n" with a remainder of 2, "n" must divide 14 (16-2) and 7 (9-2) without a remainder.

The common "n" that can divide 14 and 7 without a remainder is 7.

Answer 2

Look at all the numbers that 9 can be divided by with a remainder. Those would be 2,4 ,5 ,6,7,8

Only 7 leaves a remainder of 2.

And 16/7 = 2 with a remainder of 2 so the answer is n=7