# algebra

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 you have?" After pausing a moment, he replied, "Well! If I divide the
coins into two unequal numbers, then 25 times the difference between the two numbers equals the difference
between the squares of the two numbers." How many gold coins does the rich merchant have?

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

x^2-25x=y^2-25y

1. 👍 0
2. 👎 0
3. 👁 624
1. Try this:

(x+y)(x-y) = 25(x-y)
x+y = 25

1. 👍 0
2. 👎 0
2. 12 13

1. 👍 0
2. 👎 0

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