SOLUTION: George is thinking of a number between 70 and 90. The sum of the digits is less than 12. The product of the digits is greater than 25. What is Georges number

Question 334546: George is thinking of a number between 70 and 90. The sum of the digits is less than 12. The product of the digits is greater than 25. What is Georges number
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The number either begins with or
If the tens digit is , the units digit is or less
If the tens digit is , the units digit is or less
and
If the product of the digits, the tens digit can't be ,
since is the most the product can be
and
George's number must be , since
which is OK, and which fails the 2nd test
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