Hi,

One number is 4 times as large as another. 

The sum of their reciprocals is 35/4.

    |Multiplying thru by 4x so as all denominators = 1

   1 + 4 = 35x

   5 = 35x

   5/35 = x = 1/7

One number is 1/7 and the larger 4/7

CHECKING our answer***The sum of their reciprocals is 35/4.

  7/4 + 7 = 7/4 + 28/4 = 35/4

Wish You the Best in your Studies.

 

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
 



Numbers are  and 



Sum of reciprocals is



................solve for 



























 .....first number







...........second number



their reciprocals:  



reciprocal of  is  and reciprocal of  is 



the sum of reciprocals should be  



check it:



















 which confirms our solution is correct



 

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