3 numbers are in the ratio 1:2:3. of the sum of their cubes is 0.098784. find the number
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Answered by
2
Answer:
The answer is given below :
The ratio of the numbers is 1 : 2 : 3.
Let, x be the common multiple.
Then the numbers are x, 2x and 3x.
Given that, sum of the cubes of the numbers
= 0.098784
=> (x)³ + (2x)³ + (3x)³ = 0.098784
=> x³ + 8x³ + 27x³ = 0.098784
=> 36x³ = 0.098784
=> x³ = 0.14³
=> x = 0.14
So, the numbers are
0.14, 2×0.14 and 3×0.14
i.e., 0.14, 0.28 and 0.42
Thank you for your question.
Answered by
2
Answer:
Let, x be the common multiple.
Then the numbers are x, 2x and 3x.
Given that, sum of the cubes of the numbers
= 0.098784
=> (x)³ + (2x)³ + (3x)³ = 0.098784
=> x³ + 8x³ + 27x³ = 0.098784
=> 36x³ = 0.098784
=> x³ = 0.14³
=> x = 0.14
So, the numbers are
0.14, 2×0.14 and 3×0.14
i.e., 0.14, 0.28 and 0.42
Thank you for your question.
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