Question

the product of two, 2-digit numbers is 2117. the product of their units digit is 27 and that of tens digit is 14. find the number.

Answer 1

hii mate hope this help you

The units digits are 3 and 9, and the tens digits are 2 and 7; but we do not yet know
for sure which way they go in the two numbers. 

There are no more than TWO combinations to check.
You want the product of the two numbers to be 2117. 

23×79=2117
No.
23×79=1817

29×73=2117
Yes
29×73=2117

The two two-digit numbers are 29 and 73. 

I earlier tried the problem using variables and algebra but found an unresolvable system
of equations.