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Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. The sum of these numbers are.
- a)27
- b)26
- c)28
- d)29
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. T...
Given (2k)3 + (3k)3 + (4k)3 = 2763
⇒ 99 k3 = 2763
⇒ k3 = 27
⇒ k = 3
∴ Numbers are 6, 9, 12.
∴ Their sum = 6 + 9 + 12 = 27
⇒ 99 k3 = 2763
⇒ k3 = 27
⇒ k = 3
∴ Numbers are 6, 9, 12.
∴ Their sum = 6 + 9 + 12 = 27
Most Upvoted Answer
Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. T...
Given:
Three numbers are in the ratio 2 : 3 : 4
Sum of their cubes is 2673
To find:
The sum of these numbers.
Solution:
Let the three numbers be 2x, 3x, and 4x.
Sum of their cubes:
(2x)^3 + (3x)^3 + (4x)^3 = 2673
8x^3 + 27x^3 + 64x^3 = 2673
99x^3 = 2673
x^3 = 2673/99
x^3 = 27
x = ∛27
x = 3
Therefore, the three numbers are 2x, 3x, and 4x:
2(3) = 6
3(3) = 9
4(3) = 12
The sum of these numbers:
6 + 9 + 12 = 27
Hence, the correct answer is option A) 27.
Three numbers are in the ratio 2 : 3 : 4
Sum of their cubes is 2673
To find:
The sum of these numbers.
Solution:
Let the three numbers be 2x, 3x, and 4x.
Sum of their cubes:
(2x)^3 + (3x)^3 + (4x)^3 = 2673
8x^3 + 27x^3 + 64x^3 = 2673
99x^3 = 2673
x^3 = 2673/99
x^3 = 27
x = ∛27
x = 3
Therefore, the three numbers are 2x, 3x, and 4x:
2(3) = 6
3(3) = 9
4(3) = 12
The sum of these numbers:
6 + 9 + 12 = 27
Hence, the correct answer is option A) 27.
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Community Answer
Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. T...
Let the three numbers be 2x,3x and 4x respectively.
Sum of their cubes=2673
A.T.Q is according to question.
(2x)3+(3x3)+(4x)3=2673
8x+27x+64x=2673
99x=2673
x=2673÷99
x=27
Thus a=27
this is how it came.
hope it will help
Sum of their cubes=2673
A.T.Q is according to question.
(2x)3+(3x3)+(4x)3=2673
8x+27x+64x=2673
99x=2673
x=2673÷99
x=27
Thus a=27
this is how it came.
hope it will help
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Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. The sum of these numbers are.a)27b)26c)28d)29Correct answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. The sum of these numbers are.a)27b)26c)28d)29Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. The sum of these numbers are.a)27b)26c)28d)29Correct answer is option 'A'. Can you explain this answer?.
Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. The sum of these numbers are.a)27b)26c)28d)29Correct answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. The sum of these numbers are.a)27b)26c)28d)29Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three numbers are in ratio 2 : 3 : 4 and sum of their cubes is 2673. The sum of these numbers are.a)27b)26c)28d)29Correct answer is option 'A'. Can you explain this answer?.
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