Gold coins

maria flor
@maria-flor-8cAkif โ€ข Oct 26, 2024

A rich merchant did not want anybody to know about his big hoard of gold coins. One day, his wife asked, "How many gold coins do I have?"
After pausing a moment he replied, "Well! If I divide the coins into two unequal numbers, then 33 times the difference between the two numbers equals the difference between the squares of the two numbers."
Can you help her by finding out how many gold coins they have???

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  • Saandeep Sreerambatla

    @saandeep-sreerambatla-hWHU1M • Dec 29, 2010

    Total - 33..

  • maria flor

    @maria-flor-8cAkif • Dec 29, 2010

    how come????

  • Ankita Katdare

    @abrakadabra • Dec 29, 2010

    @maria:

    Let the 2 unequal numbers be x and y.

    Hence, 33(x-y) = x2 + y2 (where 2 is for square)

    33(x-y) = (x+y)(x-y)

    Hence, x+y = 33

  • Saandeep Sreerambatla

    @saandeep-sreerambatla-hWHU1M • Dec 29, 2010

    Yep , the same solution!!

  • maria flor

    @maria-flor-8cAkif • Dec 29, 2010

    Thanks to both of you!!!

  • Sachin Jain

    @sachin-0wuUmc • Dec 29, 2010

    Total 33.....