Gold Rush

Algebra Level 1

Midas had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?"

After pausing a moment, Midas replied, "Well! If I divide the coins into two unequal numbers, then 369 times the difference between the two numbers equals the difference between the squares of the two numbers."

The wife looked puzzled. Can you help Midas' wife by finding out how many gold coins they have?


The answer is 369.

Satyen Nabar by Satyen Nabar , 48, India

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2 solutions

Satyen Nabar
Feb 22, 2014

Let x and y be the two unequal piles of coins

(x+y)(x-y)= x^2 - y^2

x+y = 369 :-)

6 Helpful 0 Interesting 0 Brilliant 0 Confused

i got it at first but done some illy mitake

Vikhyat Tiwari - 7 years, 2 months ago

let the 2 unequal piles be x and y then the equation will be something like this 369(x-y)=x^2-y^2 then 369(x-y)=(x+y)(x-y) then you will get 369=x+y so the final answer will be 369 itself

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