<p>A positive whole number has two digits which can be expressed as $10x+y$ where $x&gt;y$. When the two digits are reversed, a new number is formed.  The difference between the squares of the two numbers is $1584$.  The sum of the two numbers is $44$ times the difference between the digits of the original number.  Find the two numbers.</p>

A positive whole number has two digits which can be expressed as $10x+y$ where $x>y$. When the two digits are reversed, a new number is formed.  The difference between the squares of the two numbers is $1584$.  The sum of the two numbers is $44$ times the difference between the digits of the original number.  Find the two numbers.

Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

Question 3ef4081e

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