Awhole number is less than 65. if the number is dividedby 9, the remainder is 6. if thenumber is divided by 8, the remainder is 4. what is the whole number?

The whole numbers which give the remainder x when divided by y can be found using the formula yz+x, where z is 0, 1, 2, ...

The whole numbers less than 65 which give the remainder 6 when divided by 9 are:
6, 15, 24, 33, 42, 51, 60

The whole numbers less than 65 which give the remainder 4 when divided by 8 are:
4, 12, 20, 28, 36, 44, 52, 60

The only number that satisfies both these conditions is 60.
The number is 60.