Question

plz answer no.11...........

Answer 1

Ratio of three numbers = 2 : 3 : 4

Consider the three numbers = 2x, 3x, 4x

Sum of their cubes = 0.334125

According to the question

(2x)³ + (3x)³ + (4x)³ = 0.334125

8x³ + 27x³ + 64x³ = 0.334125

99x³ = 0.334125

x³ = 0.334125/99

x³ = 334125/99000000

x³ = 3375/100000

$x = \sqrt[3]{ \frac{3375}{1000000} }$

$x = \frac{ \sqrt[3]{3375} }{ \sqrt[3]{10 00000}}$

x = 15/100

x = 0.15

One number = 2(x) = 2(0.15) = 0.30

Second number = 3x = 3(0.15) = 0.45

Third number = 4x = 4(0.15) = 0.60

Therefore three numbers are 0.15, 0.45 and 0.60.