SOLUTION: The diffrence of two numbers is 12.Two fiths of the greater number is six more than one third of the lesser number.Find both numbers. I've 2/5(x+12)=6+1/3x but i cant get answer

Algebra ->  Expressions-with-variables -> SOLUTION: The diffrence of two numbers is 12.Two fiths of the greater number is six more than one third of the lesser number.Find both numbers. I've 2/5(x+12)=6+1/3x but i cant get answer      Log On


   

Question 16591: The diffrence of two numbers is 12.Two fiths of the greater number is six more than one third of the lesser number.Find both numbers.
I've 2/5(x+12)=6+1/3x but i cant get answer
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x and y
x-y=12


2/5x=6+1/3y
2/5x=(18+1/3)y
2/5x=19/3y
6/5x=19y
6x=105y
2x=35y
x=35/2 y


35/2y-y=12
35-2y=24
33y=24
y=24/33
y=8/11


x=35/2y
x=35/2*8/11
x=140/11


x=140/11 and y=8/11
Hope this helps,
Prabhat