SOLUTION: the sum of the digits of a two digit number is 9. if the digits are reversed, the new number is 63 greater than the original number. Find the original number.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: the sum of the digits of a two digit number is 9. if the digits are reversed, the new number is 63 greater than the original number. Find the original number.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 4976: the sum of the digits of a two digit number is 9. if the digits are reversed, the new number is 63 greater than the original number. Find the original number.
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
let the digits be x and y


x+y=9...[1]
x+10y=63+10x+y
x-10x+10y-y=63
9y-9x=63
y-x=7.....[2]


y+x=9
y-x=7
addig the two eqns we get
2y=16
y=8
y+x=9
x=9-y=9-8=1


number=10x+y=18