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

Question 254345: The sum of the digits of a two digit number is 9. If the digits are reversed, the new number if 63 greater than the original number. Find the original number.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x+y=9 or x=9-y
10y+x=10x+y+63
Replace x by (9-y) in the second equation & solve for y
10y+9-y=10(9-y)+y+63
9y+9=90-10y+y+63
9y+10y-y=90+63-9
18y=144
y=144/18
y=8 ans. for the one's digit value in the original number.x+3=9
x=9-8
x=1 ans.
18 was the original number.
81 is the new number.
Proof:
81=18+63
81=81

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