SOLUTION: A number is 9 more than the sum of the digits. If the digits are reversed, the new number is 3 less than 4 times the original.

Question 377424: A number is 9 more than the sum of the digits. If the digits are reversed, the new number is 3 less than 4 times the original.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A number is 9 more than the sum of the digits. If the digits are reversed, the new number is 3 less than 4 times the original.
..
let number in ten's place be x & units place be y
number = 10x+y
..
10x+y= x+y+9
10x-x+y-y=9
9x=9
/9
x=1
..
10y+x = 4(10x+y)-3
10y+x=40x+4y-3
10y+x-40x-4y=-3
6y-39x=-3
plug value of x
6y-39*1=-3
6y-39=-3
+39
6y=39-3
6y=36
/6
y=6
...
m.ananth@hotmail.ca
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