A two - digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number.

Let the two - digit number

**Case I** Multiplying the sum of the digits by 8 and then subtracting 5 = two digit number

**Case II** Multiplying the difference of the digits by 16 and then adding 3 = two - digit number

Now, multiplying in Eq. (i) by 3 and then subtracting from Eq. (ii), we get

Now, put the value of y in Eq. (i), we get

Hence, the required two - digit number

9