SOLUTION: A two digit number is such that the sum of its digit is 11.the number is 27 greater than the number obtained by interchanging the digits what number could it be

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A two digit number is such that the sum of its digit is 11.the number is 27 greater than the number obtained by interchanging the digits what number could it be      Log On


   

Question 515654: A two digit number is such that the sum of its digit is 11.the number is 27 greater than the number obtained by interchanging the digits what number could it be
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be xy
x ten's place
y units place
x+y=11............1
10x+y = 10y+x+27
9x-9y=27
/9
x-y=3..............2
Add (1) & (2)
2x=14
x=7
y=4
the number is 74
m.ananth@hotmail.ca