A positive whole number has two digits which can be expressed as $10x+y$ where $xy$. When th

Question

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.

Accepted Answer

$53$ and $35$

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

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

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