SOLUTION: The sum of digits of a two digit number is five.If the digit at ten's place is increased by unity,the digit becomes one-eight of the original number.Find the original number.

Question 642240: The sum of digits of a two digit number is five.If the digit at ten's place is increased by unity,the digit becomes one-eight of the original number.Find the original number.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The tens digit, increased by 1, is still a positive integer.
If it is of the original number,
then the original number must be a multiple of .
There are 11 multiples of that are two digit numbers:
16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and 96.
There is only one of those whose digits add up to .

The number is .
And, indeed, if you add to (the tens digit) you get
of the original number.

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