A two digit number is such that the product of the digit is 12 when 9 is added to the number the digits interchange their places determine the number

  34

Step-by-step explanation:

Since swapping the digits changes the value by 9, we know the difference between the digits is 9/9 = 1. Two factors of 12 that differ by 1 are 3 and 4. Adding 9 to 34 gives 43, so the number you're looking for is 34.

About interchanging digits

Suppose a number with tens digit t and ones digit o has its digits interchanged. The old value is 10t+o, and the new value is 10o+t. If the latter is larger, then the difference is ...

  (10o+t) -(10t+o) = (10-1)o -(10-1)t = 9(o-t)

That is, interchanging the digits changes the value by 9 times the difference between the digits. If the number gets larger, then the ones digit is the larger digit.

idk

step-by-step explanation: