Question

Three numbers in the
ratio 2: 3:4. The sum
of their
cubes is 0.334125. Find the numbers.
​

Answer 1

HOPE THIS HELPS YOU....

Answer 2

Step-by-step explanation:

Let the ratio 2:3:4 be 2x ,3x , and 4x

So according to the question:

(

$(2 x) {}^{3} + (3x) {}^{3} + (4x) {}^{3} = 0.334125$

$8x {}^{3} + 27 {x}^{3} + 64 {x}^{3} = 0.334125$

$99x {}^{3} = 0.334125$

${x}^{3} = \frac{334125}{1000000 \times 99} \\ = \frac{3375}{1000000}$

$x = \sqrt[3]{ \frac{3375}{1000000} } \\ = \sqrt[3]{ \frac{15 \times 15 \times 15}{100 \times 100 \times 100} } \\ = \frac{15}{100} \\ = 0.15$

$hence \: the \: numbers \: are \: \\ 2 \times 0.15 = 0.30 \\ 3 \times 0.15 = 0.45 \\ 4 \times 0.15 = 0.6$