Question 350818
1 Ans: 
         Let the numbers are x and y, where y is greater than x.
                                     ( 1/y will smaller than 1/x )

         so, 1/x +1/y = 7 .......(1)       and      1/x = 1/y +7/3 ........(2)
           using (1) we got 
              x + y = 7xy 
          using (2)  we got
               3y-3x = 7xy 
             
     solving these two equations......

        x= 3/14     y = 6/14
          
       so, numbers are 3/14 and 6/14 .
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2.Ans. 
       Let the fraction be x/y.

    then according to question....
          ( x+3 )/(y+3) = 2/3 ..............(1) 
       and  (x-2)/ (y-2) = 1/2 ............. (2)
    using (1) we got    3x-2y = -3 
     using (2) we got    2x-y  = 2
   after solving these two equations.  x =7, y =12.
   
    so, the fraction is  7/12. 


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3 Ans.
          Let the fraction be x/y.
     so,  x/y =3/4 ..........(1) 
       and   (x-7) /(y+4) = 1/2 ......(2)
       
          using (1) we got 4x - 3y =0
           using  (2) we got 2x - y =18
after solving these two equations.  x =27 , y =36 
      
       so, fraction value is   27/36