### Using The Mathematical Clue

**What was that clue?**

Since when divided into 2 unequal numbers difference won't be 0. Let x and y be the 2 unequal numbers.

As per merchant,

**32 (x - y) = x^2 - y^2**

32 (x - y) = (x - y) (x + y)

Dividing both sides by

**(x - y)**which is non zero as

**x**is

**not equal**to

**y,**

32 = x + y

**x + y = 32.**

Let's verify with x = 30 and y = 2. So 32 (x - y) = 32 ( 30 - 2) = 896. And x^2 - y^2 = 30^2 - 2^2 = 900 - 4 = 896.

Hence, Merchant had

**32 coins**in total.

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