Question

Three numbers are in the ratio 1:2:3. Sum of their cubes is 12348. Find the numbers.​

Answer 1

Answer:

7

Step-by-step explanation:

Let the numbers be x, 2x and 3x

According to the question x cube + 2x cube + 3x cube = 12348

x cube + 8x cube + 27x cube = 12348

36x cube = 12348

x cube = 12348/36

x cube = 343

x = cube root of 343

x = 7

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Answer 2

let the numbers be x to 2x and 3x

sum of the numbers =

x cube+8x cube+27 x cube=12348

36 x cube=12348

x cube =12348/36

x cube=343

x=7

therefore the numbers are 7, 14, 21.