When a number is divided by 51 it leaves a remainder 40and find the remainder when the same number is divided by17?

Answer 1

6

If a divisor of 51 leaves a quotient of 40, the dividend was 2040.

If 2040 is divided by 17, the quotient left is 120.

From superscot85: All very interesting but nothing to do with the question, which was about remainders, not quotients.

Any number which leaves 40 on division by 51 must leave a remainder of 6 on division by 17, as 51 is 3 x 17 and 40 is (2 x 17) + 6.