Question 1206161
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Terrible English....<br>
The 2-digit number does not have a product.<br>
The statement should read "...is such that the product of its digits is 12..."<br>
And note "its digits", not "it's digits".<br>
Now a shortcut for this kind of problem, involving a 2-digit number and the 2-digit number formed by reversing the digits.<br>
The difference between the two 2-digit numbers is 9 times the difference of the two digits.<br>
In this problem, since the difference between the two 2-digit numbers is 9, the difference of the two digits is 1.  So the two digits have a product of 12 and a difference of 1, making the two digits 3 and 4.<br>
Finally, since the number with the digits reversed is larger, the number with the digits reversed is 43 and the original number is 34.<br>
ANSWER: 34<br>