Question

Three numbers are in a ratio of 1:2:3. The sum of there cubes is 7776.Find those numbers​

Answer 1

Answer:

Step-by-step explanation:

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

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Answer 2

Answer:

Numbers are 6, 12 and 18

Step-by-step explanation:

let the numbers be x, 2x and 3x

Given

${x}^{3} + {(2x)}^{3} + {(3x)}^{3} = 7776$

${x}^{3} + 8 {x}^{3} + 27 {x}^{3} = 7776$

$36{x}^{3} = 7776$

${x}^{3} = 216$

$x = 6$

Numbers are 6, 12 and 18