SOLUTION: The sum of the digits of a two digit number is 11. The original two-digit number is 5 more than 3 times the number with its digits reversed. Find the original number.

Question 732711: The sum of the digits of a two digit number is 11. The original two-digit number is 5 more than 3 times the number with its digits reversed. Find the original number.
Answer by vidhyak(98) (Show Source): You can put this solution on YOUR website!
The sum of the digits of a two digit number is 11.
The 2 digit numbers whose sum of digits add to 11 are 29, 38, 47, 56, 65, 74, 83, 92

The original two-digit number is 5 more than 3 times the number with its digits reversed

From the above statement, it is understood that the original two-digit number is greater than the reversed number

so the number should be either 65, 74, 83 or 92

original number = 5 + 3(reversed number)
Let's apply the formula to 65, 74, 83, 92 to see which is correct

65 = 5 + 3(56) = 5 + 177 = 182 -------not correct
74 = 5 + 3(47) = 5 + 141 = 146 -------not correct
83 = 5 + 3(38) = 5 + 114 = 119 -------not correct

92 = 5 + 3(29) = 5 + 87 = 92 -------correct

92 is the number
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