If the potential number is N, it can be written as N = 9k + 6 and N = 21l + 12
or 3(3k - 7l) = 6 or 3k = 7l + 2 or Therefore, set l to its lowest possible value such that k's value is an integer, or the numerator, in other words. (i. e., 7l+ 2) will be divisible by 3. Thus at I =1, we get k = 3 (an integer). So the least possible number . The higher numbers can now be achieved by multiplying the LCM of 9 and 21 by 33. i.e., The general form of the number is 63m + 33. So the other number in the given range including 33 are 96, 159, 222, 285, 348, ..., 1104. Hence there are total 18 numbers which satisfy the given condition.