SOLUTION: The sum of the digits of a two-digit number is 14. When the digits are reversed, the new number is 36 more than the original number. What is the original number? Check your answer.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of the digits of a two-digit number is 14. When the digits are reversed, the new number is 36 more than the original number. What is the original number? Check your answer.      Log On


   

Question 667102: The sum of the digits of a two-digit number is 14. When the digits are reversed, the new number is 36 more than the original number. What is the original number? Check your answer.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the digits be x & y, x in the ten's place.
x+y=14.........................(1)
1he number is 10x+y
reverse number is 10y+x
10y+x= 10x+y +36
9y-9x=36
/9
y-x=4..............................(2)
add (1) & (2)
2y=18
/2
y=9
x+y =14
so x =14-9 = 5
The number is 59
59+36= 95