Question

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

Answer 1

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

(2x)³+(3x)³+(4x³)=33957

8x³+27x³+64x³=33957

99x³=33957

x³=343

x=∛343

x=7

2x=7×2=14
3x=7×3=21
4x=7×4=28

∴The numbers are 14, 21 and 28

Answer 2

Let the three no. be 2x, 3x, 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

So, 2x = 2×7 = 14
3x = 3×7= 21
4x = 4×7 = 28