Shahzad hassan
If JKL is a 3 digit number (non zero) and have no zero at any digit place such that
JK is divisible by 9
KL is divisible by 9
Then how many numbers JKL are possible ?
In order for an integer to be a multiple of 9, the sum of all digits is a multiple of 9.
If K = 1, then J = 8 and L = 8.
If K = 2, then J = 7 and L = 7.
If K = 3, then J = 6 and L = 6.
If K = 4, then J = 5 and L = 5.
If K = 5, then J = 4 and L = 4.
If K = 6, then J = 3 and L = 3.
If K = 7, then J = 2 and L = 2.
If K = 8, then J = 1 and L = 1.
If K = 9, then J = 9 and L = 9.
The case of K = 9, J = 0 and L = 0 is not the case we consider, since zero digits are there.
If K = 0, then J = 9 and L = 9, which is not a case we consider, since a zero digit is there.
Thus we have 9 cases.