Question

Three number are in the ratio 2:3:4.The sum of their cubes is 334125.Find the numbers.

Answer 1

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Answer 2

Answer:

15 , 45 and 60

Step-by-step explanation:

We are given that Three number are in the ratio 2:3:4

Let the ratio be  x

So, Numbers are 2x,3x and 4x

No w we are given that The sum of their cubes is 334125

So, $(2x)^3+(3x)^3+(4x)^3=334125$

$8x^3+27x^3+64x^3=334125$

$99x^3=334125$

$x=\sqrt[3]{\frac{334125}{99}}$

$x=15$

So, 2x = 2(15)=30

3x=3(15)=45

4x=4(15) = 60

Hence the numbers are 15 , 45 and 60