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Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum?
Most Upvoted Answer
Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Fi...
99(x^3)=33957
(x^3)=343..
x=7
so;no.s are
2x=14 . ..
3x=21 . ..
4x=28 . ..
(x^3)=343..
x=7
so;no.s are
2x=14 . ..
3x=21 . ..
4x=28 . ..
Community Answer
Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Fi...
Given:
Three numbers are in the ratio 2:3:4.
The sum of their cubes is 33957.
To Find:
The sum of the three numbers.
Let the numbers be:
2x, 3x, and 4x (as they are in the ratio 2:3:4)
Sum of the cubes of the numbers:
(2x)^3 + (3x)^3 + (4x)^3 = 33957
8x^3 + 27x^3 + 64x^3 = 33957
99x^3 = 33957
x^3 = 33957 / 99
x^3 = 343
Calculating x:
x = 7
Calculating the numbers:
1st number = 2x = 2*7 = 14
2nd number = 3x = 3*7 = 21
3rd number = 4x = 4*7 = 28
Sum of the numbers:
14 + 21 + 28 = 63
Therefore, the sum of the three numbers is 63.
Three numbers are in the ratio 2:3:4.
The sum of their cubes is 33957.
To Find:
The sum of the three numbers.
Let the numbers be:
2x, 3x, and 4x (as they are in the ratio 2:3:4)
Sum of the cubes of the numbers:
(2x)^3 + (3x)^3 + (4x)^3 = 33957
8x^3 + 27x^3 + 64x^3 = 33957
99x^3 = 33957
x^3 = 33957 / 99
x^3 = 343
Calculating x:
x = 7
Calculating the numbers:
1st number = 2x = 2*7 = 14
2nd number = 3x = 3*7 = 21
3rd number = 4x = 4*7 = 28
Sum of the numbers:
14 + 21 + 28 = 63
Therefore, the sum of the three numbers is 63.
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Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum?
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Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum? 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 the ratio 2:3:4.The sum of their cube is 33957.Find the sum? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum?.
Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum? 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 the ratio 2:3:4.The sum of their cube is 33957.Find the sum? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum?.
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