Question

three numbers are in the ratio of 2:3:5 and the sum of their cubes is 20000.find the numbers

Answer 1

$\:\: \underline{\underline{\bf{\large\mathfrak{~~Solution~~}}}}$

let the numbers are 2x ,3x,and 5x....

now according to the problem...

$(2x) {}^{3} + (3x) {}^{3} + (5x) {}^{3} = 20000 \\ = > 8x {}^{3} + 27x {}^{3} + 125x {}^{3} = 20000 \\ = > 160x {}^{3} = 20000 \\ = > x = \sqrt[3]{ \frac{20000}{160} } \\ = > x = \sqrt[3]{125} \\ = > x = 5$

therefore the numbers are...

10,15,25

$:\: \underline{\underline{\bf{\large\mathfrak{~hope ~this ~help~you~~}}}}$

Answer 2

Step-by-step explanation:

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