A two-digit number is such that the product of the digits is 12. When 36 is added to the number the digits interchange their places. What is the number?
1 Answer
Number is
Explanation:
Let the unit's digit in the number be
Hence, the value of the number is
On reversing the digits, unit's digit becomes ten's digit and ten's digit becomes unit's digit and its value will become
It is apparent that
Hence
or
or
i.e.
or
i.e.
Hence,
But we cannot have negative number in units place
Hence,
and number is