Every One has the same Answer!

          We were a group of four, sipping coffee in a wayside café near Montmartre in Paris. Andre is a student of mathematics at the University and he is very clever with number. He showed us very interesting puzzles. 

            He asked us all to think of a number – any single digit. We were not supposed to disclose the number and then square it. From this he asked us to subtract the square of the original number and again subtract 61 from the result. This number, he asked us to multiply by 2, add 24 and subtract 36 times the original number. Now he asked us to take the square root of that number.

            To our surprise he told us the exact number we had finally got and what was even more amazing was that we, all the three of us, had got the same final result. 

  

         How do you explain it?

Answer: (1)    x + 9

(2)    (x + 9)² = x² + 18 x +81

(4)    18x + 81 – 61 + 18x +20

(5)   2(18x + 20) = 36x +40

(6)  (36x +40) + 24 = 36x + 64

(7) 36x + 64 – 36x = 64

(8)  ∫64+8

 The answer will always be the same since the variable term drops out.