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.

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) (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

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