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You can put this solution on YOUR website!
\n" ); document.write( "Here is a response using different logical reasoning to show that the problem has no solution.
\n" ); document.write( "(1) The 2-digit number is 5 times the sum of its digits, so the units digit is either 5 or 0.
\n" ); document.write( "(2) The 2-digit number is also 5 more than the product of its digits. If the units digit is 0, then the product of the digits is 0, and 5 more than 0 is 5, which is not a 2-digit number.
\n" ); document.write( "(3) From (1) and (2), the units digit of the 2-digit number must be 5.
\n" ); document.write( "(4) From (1) and (3), the sum of the digits must be odd. Since the units digit is 5, the tens digit must be even.
\n" ); document.write( "That reasoning leaves only these possibilities for the 2-digit number: 25, 45, 65, and 85. Of those, only 45 satisfies the condition that the number is 5 times the sum of its digits; and 45 does not satisfy the condition that it is 5 more than the product of its digits.
\n" ); document.write( "ANSWER: No solution
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