Question

The cube of a number is 8 times the cube of another number. If the sum of the cubes of numbers is 243, then what is the difference of the numbers?

Answer 1

`\begin{gathered} x^3=8y^3 \\ x^3+y^3=243 \\ From\text{ two equation }we\text{ can find the value of x and y} \\ 8y^3+y^3=243 \\ 9y^3=243 \\ y^3=27 \\ y=3 \\ x^3=243-27 \\ x^3=216 \\ x=6 \\ Difference\text{ of two number=6-3=3} \end{gathered}`