SOLUTION: The sum of the reciprocal of two numbers is 3/34. The reciprocal of the lesser number is twice the reciprocal of the greater number. What are the numbers?.kindly please answer t

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of the reciprocal of two numbers is 3/34. The reciprocal of the lesser number is twice the reciprocal of the greater number. What are the numbers?.kindly please answer t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1160954: The sum of the reciprocal of two numbers is 3/34. The reciprocal of the lesser number is twice the reciprocal of the greater number. What are the numbers?.kindly please answer this one with solution ..
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers p and c
The description as equations, system%281%2Fp%2B1%2Fc=3%2F34%2C1%2Fc=2%281%2Fp%29%29
You should be able to solve that.

Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.

You can solve it mentally.


One reciprocal is twice the other reciprocal, and the sum of reciprocals is  3%2F34.


It means, after 2 seconds of thinking, that one reciprocal is  1%2F34,  while the other reciprocal is  2%2F34 = 1%2F17.


From it, there is only one step to get the 


ANSWER.  The numbers are  17 and 34.

This problem is for  quick  mental  solution.