Gold coins

maria flor

maria flor

@maria-flor-8cAkif 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

    @saandeep-sreerambatla-hWHU1M Dec 29, 2010

    Total - 33..
  • maria flor

    maria flor

    @maria-flor-8cAkif Dec 29, 2010

    how come????
  • Ankita Katdare

    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

    @saandeep-sreerambatla-hWHU1M Dec 29, 2010

    Yep , the same solution!!
  • maria flor

    maria flor

    @maria-flor-8cAkif Dec 29, 2010

    Thanks to both of you!!!
  • Sachin Jain

    Sachin Jain

    @sachin-0wuUmc Dec 29, 2010

    Total 33.....