Question

difference of two numbers which are perfect cubes is 189 if the cibe root of the smaller of the two numbers is 3 find the cube root of the larger number

Answer 1

${x}^{3} - {3}^{3} = 189 \\ {x}^{3} = 189 + 27 \\ {x}^{3} = 216 \ \\ x = 6$
cuberoot of larger number is 6