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Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers​

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers​
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4 votes
Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers​

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User Undefitied
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1 Answer

9 votes
Let the numbers be 1k, 2k , and 3k respectively
Since the sum of their cubes is 4500,
(1k)³+(2k)³+(3k)³=4500
--> k³(36)= 4500
--> k = 5


Hence, the numbers are: 5,10 and 15 respectively
Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the-example-1
answered
User Joery
by
8.2k points
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