Answer:
Given,
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.
https://www.quora.com/Three-numbers-are-in-the-ratio-1-2-3-and-the-sum-of-their-cubes-is-4-500-What-is-the-smallest-number
