SOLUTION: The sum of the digits of a two-digit number is 14. If the number represented by reversing the digits is subtracted from the origianl number, the result is 18. What is the original
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: The sum of the digits of a two-digit number is 14. If the number represented by reversing the digits is subtracted from the origianl number, the result is 18. What is the original
Log On
Question 36837This question is from textbook Algebra
: The sum of the digits of a two-digit number is 14. If the number represented by reversing the digits is subtracted from the origianl number, the result is 18. What is the original number? This question is from textbook Algebra
You can put this solution on YOUR website! 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.
(