Question 164601
For these purposes let the two-digit number be {xy}.  
The product of {xy} and its tens digit (x)=54
Since the tens digit is a number between 0 and 9, which of these numbers can be multiplied by a two digit number to equal 54?
1*54    Yes
2*27    Yes
3*18    Yes
4*13.5  No
5*10.8  No
6*9     No
7*7.71  No
8*6.75  No
9*6     No
Notice that the ten's digit of 27 is a 2 and the product of these numbers is 54.

The sum of the digits when added to the number gives a result of 36:
x+y+{xy}=36
2+7+ 27 =36

I hope this helps!