Answered

The sum of the reciprocals of two numbers is 7. The larger reciprocal exceeds the smaller by 7/3. What is the larger number?

Sagot :

Cheahjimmyviz
let x be the first #
     y be the second #
thus
           1/x + 1/y = 7
           1/x - 1/y  = 7/3
           2/y =  7-7/3  =  14/3
               y =  6/14= 3/7

         1/x + 7/3   =7
3x(1/x +7/3) = 3x . 7
  3 + 7x = 21x
   x = 3/14
so
   y= 3/7  & x =  3/14
the larger number is  3/7