SOLUTION: the product of two 2 digit number is 2117. The product of their units digit is 27 and that of tens digits 14. find the number

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the product of two 2 digit number is 2117. The product of their units digit is 27 and that of tens digits 14. find the number      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 894058: the product of two 2 digit number is 2117. The product of their units digit is 27 and that of tens digits 14. find the number
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Consider the ways that digits will give products of 27 and 14.
3%2A9=27, and 2%2A7=14.
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%2A79=2117?
No.
23%2A79=1817

29%2A73-2117?
Yes.
29%2A73=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.