Question

A number when divided by
18 leaves remainder 7, but
when the same number is
divided by 6 it will have the
remainder?​

Answer 1

Answer:

18(0) + 7 = 7, so the remainder is 7.

18(1) + 7 = 25, so the remainder is 1.

18(2) + 7 = 43, so the remainder is 7.

18(3) + 7 = 54 + 7 = 61, so the remainder is 1.

In fact, the pattern keeps repeating back and forth between 7 and 1. Mathematically, that happens because each number we check is 18 greater than the one before it. So, if the remainder is originally 1, then the remainder will now be 18 greater, or 19. However, you can't actually have a remainder greater than 12 when you divide by 12, so we need to subtract 12: 19-12 = 7. The same happens when you go from a remainder of 7 to a remainder of 1.