Question

The three numbers are in the ratio 2:3:5. The sum of their cubes is 34560. Find the numbers.
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Answer 1

Answer:

15

Step-by-step explanation:

The ratio of the three numbers are 1:2:3 . Let the numbers are x , 2x and 3x.

According to the question,

x³+(2x)³+(3x)³=4,500

⟹x³+8x³+27x³=4,500

⟹36x³=4500

⟹x³=4,50036

⟹x³=125

⟹x=125−−−√3

⟹x=5

So the numbers are 5,5×2=10,5×3=15

Therefore, 5 is the smallest number.

Answer 2

Answer:

Step-by-step explanation:

let the no. be x

2x^3+3x^3+5x^3=34560

10x^3=34560

x^3=3456

x=cube root of (3456)

x=15.11

numbers are

2x15.11=30.22

3x15.11=45.33

5x15.11=75.55