My math sir said that 'x' is the weight of an elephant and 'y' is the weight of an ant . both are different .Then he said He'll prove , x = y. This is how it goes ....
Let x+y = 2 ( a ) x=2(a)-y ..... (1) x-2(a)=(-y) ...(2)
Multiplying (1) and (2)., x(x-2a)= (2a-y)-y
x^2-2ax = y^2 - 2ay
x^2 - 2ax +a^2 = y^2 - 2ay +a^2 (Adding a^2 on both the sides )
(x-a)^2 = (y-a)^2 ( cancelling the squares .. )
x-a = y-a (cancelling a on both sides )
x=y !!!! (how is this possible ?)
i feel there is a mistake . How can we cancel off squares of DIFFERENT numbers x ,y when it is subtracted from a ?
What do you think guys ? give it a try !!