How Many Gold Coins?

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HOW MANY GOLD COINS?

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One of the easiest brain teasers if you have paid attention in your middle school mathematics class :D
"A rich merchant 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, he replied, 'Well! If I divide the coins into two unequal numbers, then 67 times the difference between the two numbers equals the difference between the squares of the two numbers.'

His wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins they have?"



Solve this and do let me know your answers in the comment section!

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With Warm Wishes,
Lavanya

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