Class 8 Exam > Class 8 Questions > Three numbers are in the ratio 2:3:4.The sum ...
Start Learning for Free
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.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum?
Question Description
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?.
Solutions for Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum? defined & explained in the simplest way possible. Besides giving the explanation of
Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum?, a detailed solution for Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum? has been provided alongside types of Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum? theory, EduRev gives you an
ample number of questions to practice Three numbers are in the ratio 2:3:4.The sum of their cube is 33957.Find the sum? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup