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.

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Question 164601: 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 MRperkins(289) (Show Source):
You can put this solution on YOUR website!
For these purposes let the two-digit number be {xy}.
The product of {xy} and its tens digit (x)=54
Since the tens digit is a number between 0 and 9, which of these numbers can be multiplied by a two digit number to equal 54?
1*54 Yes
2*27 Yes
3*18 Yes
4*13.5 No
5*10.8 No
6*9 No
7*7.71 No
8*6.75 No
9*6 No
Notice that the ten's digit of 27 is a 2 and the product of these numbers is 54.
The sum of the digits when added to the number gives a result of 36:
x+y+{xy}=36
2+7+ 27 =36
I hope this helps!