SOLUTION: The sum of the reciprocal of two numbers is 11. Three times the reciprocal of one numbers is 3 more than twice the other. find the numbers

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of the reciprocal of two numbers is 11. Three times the reciprocal of one numbers is 3 more than twice the other. find the numbers       Log On


   



Question 843855: The sum of the reciprocal of two numbers is 11. Three times the reciprocal of one numbers is 3 more than twice the other. find the numbers
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the reciprocal of two numbers is 11. Three times the reciprocal of one numbers is 3 more than twice the other. find the numbers
***
let x=1st number
let y=2nd number
..
1%2Fx%2B1%2Fy=11
1%2Fx=11-1%2Fy
1%2Fx=%2811y-1%29%2Fy
..
3%2Fx=2%2Fy%2B3
3%2811y-1%29%2Fy=2%2Fy%2B3
LCD:y
33y-3=2+3y
30y=5
y=5/30=1/6
1/x=11-6=5
x=1/5
..
1st number=1/5
2nd number=1/6
note: these are strange answers if they are correct.