Section – III

 

47.  2 years ago, one-fifth of Amita’s age was equal to one-fourth of the age of Sumita, and the average of their age was 27 years. If the age of Paramita is also considered, the average age of three of them declines to 24. What will be the average age of Sumita and Paramita 3 years from now?

 

       A.    25 years     

       B.    26 years

       C.   27 years     

       D.   cannot be determined

 

Solution:

       Let the present ages of Amita, Sumita and Paramita be a years, s years and p years respectively.

 

        and  = 27

 

        and a – 2 + s – 2 = 54

 

       Let a – 2 = 5k. Then s – 2 = 4k.

       ̃ 5k + 4k = 54.

       k = 6. \ a = 32 and s = 26.

 

      

 

       30 + 24 + p – 2 = 72

       p = 20.

Average age of Sumita and Paramita 3 years from now = = 26                                          Choice (B)