Question

The cube of a number is 8times the cube of another number. If the sum of the cubes of numbers is243, the difference of the number is

Answer 1

Let the first number be x and the second number be y. According to the question, x^3=8*y^3 that implies x^3--8*y^3=0 also, x^3+y^3=243 on solving these two equations we get x=6 and y=3 so the difference between them is 3, which is the required answer.