three numbers are in ratio 1 ratio 2 ratio 3 and the sum of their cubes is 4500 find the number
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Answer:
Therefore the numbers are 5, 10 and 15.
Step-by-step explanation:
Let the 1st no be x
Then the numbers are x, 2x and 3x
Given that
x³ + (2x)³ + (3x)³ = 4500
x³ + 8x³ + 27x³ = 4500
36x³ = 4500
x³ = 4500 / 36
x³ = 125
x = 5
Then 2x = 10
and 3x = 15
Therefore the numbers are 5, 10 and 15.
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