What is the number?

Question

What number when divisible by 7 gives a remainder of 4, when divisible by 8 gives a remainder of 5 and when divisible by 9 gives a remainder of 6?

Answer 1

let's say that the number is x.

Note that the number gives a remainder 3 less than 7,8, and 9, namely 4, 5, and 6.

So, x can be any common multiple of 7,8, and 9 minus 3.

For example, 

x = 7*8*9 - 3 = 501 is such a number.

Hope this helps!