Question 39949
Let the 10 digit number be x
Let the one digit number be y
x+y=15
y=15-x (SUBSITUTION)
Original number:
10x+y
Reversed number:
10y+x
EQUATION:
10y+x=10x+y-27
Subsitute for y:
10(15-x)+x=10x+15-x-27
150-9x=9x-12
18x=162
x=9
y=15-9
y=6
Hence, the 10 digit number is 9 and the one digit number is 6, and the whole number is 96.
Paul.