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