Question 36837
Let te ten digit number be x
Let the one digit number be y
x+y=14
y=14-x (subsitution)
Orignal number is 10x+y
THe reversed number is 10y+x
Equation:
(10y+x)-(10x+y)=18
9y-9x=18
Subsitute for y:
9(14-x)-9x=18
126-9x-9x=18
-18x=-108
x=6
y=14-6
y=8
Hence, the ten digit number is 6 and the one digit number is 8 the whole number is 68.
Paul.