Math, asked by sangeetanilverp9saw5, 1 year ago

Three numbers are in the ratio 1 : 2 : 3. the sum of their cubes is 98 784. find the numbers

Answers

Answered by saloni2019sharma

here is your answer
thank you

Attachments:

sangeetanilverp9saw5: can you answer one more question please?

saloni2019sharma: let me check if I can do it or not...

sangeetanilverp9saw5: the volume of a cuboidal box is 29791/216cm .find its side

saloni2019sharma: okk

saloni2019sharma: it should be cubical not cuboidal as per my point of view

sangeetanilverp9saw5: no im sure it's cuboidal...btw nvm i got the answer.

saloni2019sharma: cuboid of Length,breadth and height and one of these three should be of different magnitude

saloni2019sharma: and for cube it's answer is

saloni2019sharma: 31/6

saloni2019sharma: right??

Answered by shantanurauthan

let the numbers be x,2x and 3x since they are in the ratio 1:2:3 so if we take the first number to be x then second number would be 2x and third would be 3x

Now its given that

x³ + (2x)³ + (3x)³ = 98784

36x³ = 98784

x³ = 2744

taking cube root both sides we get

x = 14

1st number = 14

2nd number = 2 * 14 = 28

3rd number = 3 * 14 = 42

Happy Reading :)

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