Question

Three number are in ratio 2:3:4 and sum of their cubes is 33957. What would be the numbers?

Answer 1

"Let the no. be 2x, 3x and 4x

Then there cube will be

(2x)³, (3 x)³ and (4 x)³

8x³, 27x³ and 64x³

As per the question, the total sum of the cube of three number is 33957

8x³ + 27x³ + 64x³ = 33957

99x³= 33957

x³ = 343

x = 7

therefore no. will be 14 , 21 , 28

"

Answer 2

Answer:

Let the no be 2x , 3x , 4x .......

sum of their cubes is 33957..

(2x)^3 + (3×)^3+(4×)^3=33957

8x^3+ 27x^3+64x^3 = 33957

99x^3= 33957

×^3=33957/99

×^3=343

x=7

first no=2x

2×7=14.....@

second no =3×

3×7=21.....@

third no =4×

4×7=28.....@