Question

three numbers are in the 2: 3: 4:. the sum of their cubes is 33,957.Find the number.​

Answer 1

hola♥️

question:-three numbers are in the 2: 3: 4:. the sum of their cubes is 33,957.Find the number.

answer:-Let the numbers be 2x, 3x and 4x

sum of cubes = 33957

⇒(2x)³ + (3x)³ + (4x)³ = 33957

⇒8x³ + 27x³ + 64x³ = 33957

⇒99x³ = 33957

⇒x³ = 33957/99 = 343

⇒x = ∛343 = 7

Numbers are:

2x = 2×7 = 14

3x = 3×7 = 21

4x = 4×7 = 28

hope this helps ♥️

Answer 2

let each number be x .

2x,3x 4x,

2x^3+3x^3+4x^3=33957

8x+27x+64x= 33957

99x^3=33957

33957÷99=343

we can do the underoot of 343

answer is7

2x=2×7=14

3x=3×7=21

4x=4×7=28

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