Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 972. The numbers are
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Answers
Answered by
17
Answer:
1x + 2x + 3x = 972
6x = 972
x = 972/6
x = 162
Step-by-step explanation:
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Answered by
4
Answer:
The numbers are: 3, 6 and 9.
Step-by-step explanation:
Given : Three numbers x,y,z are in the ratio 1:2:3 and sum of their cubes = 972
To find: x,y and z
Solution:
Let the numbers be k,2k,3k where k is an integer.
According to condition, k³ + 8k³ + 27k³ = 972
=> 36k³ =972
=> k³ = 27
=> k = 3.
The numbers are: 3, 6 and 9.
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