SOLUTION: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?

Question 164605: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Using the factors that evenly divided into 54, we can see that there are three sets of number that are "possible" answers. That is, they contain one factor that are two digits
1*54
2*26
3*18
The only one that fits is 2*26 (first digit doesn't match in the others)
Now make sure the second part still works. Is 26 + 8 = 36?
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