Question

Three numbers are in the ratio of 1:2:3. The sum of their cubes is 7776. Find the numbers

Answer 1

let the numbers be x,2x,3x respectively
there cubes will be x³,8x³,27x³ respectively

according to question,

=> x³+8x³+27x³ = 7776
=> 36x³ = 7776
=> x³ = 7776/36 => 216

=> x=³√216 => 6


x = 6
2x = 2(6) => 12
3x = 3(6) => 18



hope this helps

Answer 2

let the numbers be x,2x,3x respectively

there cubes will be x³,8x³,27x³ respectively

according to question,

=> x³+8x³+27x³ = 7776

=> 36x³ = 7776

=> x³ = 7776/36 => 216

=> x=³√216 => 6

x = 6

2x = 2(6) => 12

3x = 3(6) => 18

hope this helps