the difference between numbers is 25. the smaller number is 1/6th of the larger number. what is the value of the smaller number?

Question

the difference between numbers is 25. the smaller number is 1/6th of the larger number. what is the value of the smaller number?

Answer 1

             L - S = 25       [ larger minus smaller is 25 ]

             L -6S = 0        [ from  S = (1/6)*L  ;   6S = L ;  L - 6S = 0]

           ---------------

                5S = 25       [ subtract equations ]

                 S = 5          [ divide both sides by 5 ]

                 L = 30

 

Check (very important):

     Is  30 - 5 = 25  ?  yes.

     Is  5 = (1/6)30   ?  yes.