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

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1. 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

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