Question

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3. Find the cube root of the larger number.

Answer 1

now the difference between two cubes is 189 let one number be x and other number be y now smallest number cube root is 3 let y be the smallest therefore, x^3-y^3=189
x^3-3^3=189
x^3=189+27
x^3=216
x=6, thus the largest number is 6 and it's cube root is 216

Answer 2

Answer:

now the difference between two cubes is 189 let one number be x and other number be y now smallest number cube root is 3 let y be the smallest therefore, x^3-y^3=189

x^3-3^3=189

x^3=189+27

x^3=216

x=6, thus the largest number is 6 and it's cube root is 216

Step-by-step explanation:

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