Question

Two numbers are in the ratio 2:5 and the sum of their cubes is 1064. Find the numbers.
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Answer 1

the answer is 245,hope it helps

Answer 2

Answer:

Two numbers are in the ratio 2:5

$\frac{x}{y} = \frac{2}{5}$

the sum of their cubes is 1064

${y}^{3} + {( \frac{2}{5} )}^{3} {y}^{3} = 1064$

${y}^{3} (1 + \frac{8}{125}) = 1064 \\ {y}^{3} = \frac{1064 \times 125}{8} = 16625$

$y = 25.52$

and

$x = 10.20$