Question

three numbers are in the ratio of 2 : 3 : 4 the sum of their cubes is 33957 find the numbers​

Answer 1

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

Answer 2

let the numbers be 2x,3x and 4x

according to question

(2x)³+(3x)³+(4x)³=33957

8x³+27x³+64x³=33957

99x³=33957

x³= 33957/99

x³=343

x=³√343

x=7

therefore,the numbers are=

2x=2×7=14

3x=3×7=21

4x=4×7=28