if 50 is divided into two equal parts in such a way tha 1/8 part of greater number is equal to 1/2 of the smaller number.the numbers are?

Question

if 50 is divided into two equal parts in such a way tha 1/8 part of greater number is equal to 1/2 of the smaller number.the numbers are?please help

Answer 1

My siblings and I made a rule:  Whoever cuts the cake (pizza, pie, …) into “equal” pieces gets the last piece.

Perhaps this problem should say “unequal” parts, let them be G (greater) and S (smaller).

The problem states:
     (1/8)*G = (1/2)*S                           [because “of” usually means multiply]
     S + G = 50

Let’s use the elimination method:
     G   – 4*S  = 0       (first equation)
     G   +   S   = 50       (second equation)
   ---------------------      (subtract)
      0    -5*S  = -50
                S = 10
Then, 
           G + S = 50
           G + 10 = 50
           G = 40

Checking:
      Is (1/8)*40 = (1/2)*10  ?
               5  =  5   ?    Yes.

Answer 2

50 divided into 2 equal parts.  Each part will be 25.

 

Assign variables for the numbers we want to find.

 

Let the smaller number = x

Let the larger number = y

 

We can establish an equation that represent the situation.

 

 (1/8)y = 25 = (1/2)x

 

 

Create separate equations.

 

(1/8)y = 25           and             (1/2)x = 25

 

 

y = 25(8)             and                  x = 25(2)

 

y = 200               and                   x = 50

 

 

The two numbers are 50 and 200.