Sum of two number is 1000 and the sum of their recipocal is 2/255.Let the smallest of 2 number be L, so which of the following is correct value range for L?
Choose the most appropriate option:
A) 100  B) 150  C) 180  D) 200  E) 220
As per the question , let the smaller number be L and larger number be H.   So, L+H = 1000..........eqn 1   And   1/L+1/H= 2/255   (L+H)/LH = 2/255   LH = (L+H)*255/2   LH= 127500.................eqn 2   Now,   (H-L)^2 =(H+L)^2 - 4HL   (H-L)^2 = 1000000-4*127500   = 1000000-510000= 
<gadget id="calculator">1000000-510000</gadget>
<output>490_000</output>
490000   Now,   (H-L)=sqrt(490000)   = 700   H-L=700...............................eqn 3   From eqn 1 and 3   L=150   ANSWER:150
<result>B</result>
Sum of two number is 1000 and the sum of their recipocal is 2/255.Let the smallest of 2 number be L, so which of the following is correct value range for L?