Question

Three numbers are in the ratio 1:2:3. The sum of their cubes is 98784. Find the numbers.​

Answer 1

Answer:

14,28 and 42

Step-by-step explanation:

Let the numbers be x, 2x and 3x

Their cubes are x cube, 2x cube and 3x cube

According to the question x cube + 2x cube + 3x cube = 98784

x cube + 8x cube + 27x cube = 98784

36x cube = 98784

X cube = 98784/36

X cube = 2744

X = cube root of 2744

X = 14

First number is 14

Second number is 2×14= 28

Third number is 3×14=42

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Answer 2

Answer:

14, 28, 42

Step-by-step explanation:

let the numbers be x , 2x, 3x

then,

x^3 + (2x)^3 + (3x)^3 = 98784

x^3 + 8x^3 + 27x^3 = 98784

36x^3=98784

x^3=98784/36

x^3= 2744

x= 14

2x = 2 × 14 = 28 and 3x = 3×14 = 42

hence, the number are 14 , 28 , 42