sum of the digit number is 10 when we interchange the digit we will get a new number which is greater than the origanal number by 18 find the original number

Answer 1

Assuming that this is a 2 digit number the answer is 46. Since there are only two conditions then this assumption seems to be legitimate.

How to find this number?

 

Let xy be that number we are looking for. Then

 

x+y=10

xy=yx-18

 

x+y=10

10x+y=10y+x-18

 

x+y=10
9x-9y=-18

 

Solving this system of equations we get x=4, y=6.