Math, asked by tanishqtamrakar42, 6 months ago

Three numbers are in the ratio 2:3:4. The sum of
their cubes is 0.3 34125. Find the number.​

Answers

Answered by sunilpitroda1234
1

Answer:

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Answered by Anonymous
1

Step-by-step explanation:

#(2x)^3+(3x)^3+(4x)^3 = 0.334125#

distributing the powers across the factors using #(a*b)^c = a^c b^c# we get:

#8x^3+27x^3+64x^3 = 99x^3 = 0.334125#

#x^3 = 0.334125/99 = 0.003375#

#x = root(3)0.003375 = 0.15#

So the 3 numbers are:

#2*0.15, 3*0.15, 4*0.15 implies 0.3, 0.45, 0.6#

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