The product of two 2-digit numbers is 1938. The product of the unit digits of both the numbers is 28. The product of the tens digit of both the numbers is 15. What are the two numbers?

Dear student,

the product of two 2 digits numbers is 1938.
the product of their units digit is 28 and that of tens digit is 15. 

 The only two possible units digits that have product 28 are 7 and 4 
The only two possible tens digits that have product 15 are 5 and 3 
Therefore, there are only two feasible answers
 54 and 37 or 57 and 34 

54 and 37 have product 1998, so that's not it.
 57 and 34 have product 1938, so that's it. 

Regards