Three numbers are in the ratio 2:3:4. The sum of their cubes is 334125. Find thenumbers
Question
Solution 1
Let's denote the three numbers as 2x, 3x, and 4x.
The problem states that the sum of their cubes is 334125. So we can write the equation as follows:
(2x)^3 + (3x)^3 + (4x)^3 = 334125
Solving this equation will give us the value of x.
8x^3 + 27x^3 + 64x^3 = 334125
99x^3 = 334125
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