find number are in ratio 1 2 3 and sum of their cubes is 4500

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find number are in ratio 1 2 3 and sum of their cubes is 4500

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Answer:5, 10 and 15

Step-by-step explanation:a = k

b = 2k

c = 3k

Given,

a³ + b³ + c³ = 4500

So,

(k)³ + (2k)³ + (3k)³ = 4500

k³ + 8k³ + 27k³ = 4500

36k³ = 4500

k³ = 125

k = 5

Therefore,

a = k = 5

b = 2k = 10

c = 3k = 15