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