SOLUTION: One number is 5 times another. The sum of their reciprocals is 54/5. Find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: One number is 5 times another. The sum of their reciprocals is 54/5. Find the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 856954: One number is 5 times another. The sum of their reciprocals is 54/5. Find the numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

1%2Fx+%2B+1%2F%285x%29+=+54%2F5     |Multiplying thru by 5x so as all denominators = 1

   5 + 1 = 54x

      6 = 54x

      1/9 = x and 5x = 5/9

CHECKING our answer***The sum of their reciprocals is 54/5

+9%2F1+%2B++9%2F5+=+45%2F5+%2B+9%2F5+=+54%2F5

Wish You the Best in your Studies.