SOLUTION: one number is 3 times as large as the other and the difference between the resiprocals is 1/6. Find two numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: one number is 3 times as large as the other and the difference between the resiprocals is 1/6. Find two numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 391029: one number is 3 times as large as the other and the difference between the resiprocals is 1/6. Find two numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

one number is 3 times as large as the other         

Let x and 3x represent  the numbers

Question states***

 1/x - 1/3x = 1/6  |Multiplying each term by 6x so as all denominators = 1

 6 - 2 = x 

    4 = x

     x = 4   The other number is 12.   (3*4)



CHECKING our Answer

 1/4 - 1/12 = 3/12 - 1/12 = 2/12 = 1/6