Can an Elephant become equal to an ant!!! - Fun with Maths


Can an Elephant become equal to an ant!!!

Let the weight of an  Elephant be ‘X’
Let the weight of an Ant be ‘Y’
Let the total weight be ‘2V’

Therefore
          X+Y=2V--------------- eqn 1
          X=2V-Y---------------- eqn 2
          Y=2V-X---------------- eqn 3

Multiply equation 3 by (-1)
          -Y= -2V+X------------ eqn 4

Multiply equation 4 by ‘X’
          -Y(X) = -2VX+X2

Put the value of ‘X’ in LHS
          -Y (2V-Y) = -2VX + X2
          -2VY + Y2 = -2VX + X2

Adding V2 on both sides
          X2 – 2VX + V2 = Y2 – 2VY + V2
                (X – V)2 = (Y – V)2

Taking Square root on both sides
          (X-V) = (Y-V)      
          X=Y-V+V
          X = Y

Weight of an elephant = Weight of an ant.

Hence proved.

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