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.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
The tens digit, increased by 1, is still a positive integer.
If it is 1%2F8 of the original number,
then the original number must be a multiple of 8.
There are 11 multiples of 8 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 5.
3%2B2=5
The number is highlight%2832%29.
And, indeed, if you add 1 to 3 (the tens digit) you get
1%2F8 of the original number.
3%2B1=4=32%2F8