Question

Two numbers are in the ratio 1:2. The sum of their cubes is 83,349. Find the numbers.

Answer 1

Answer:

642 is the answer

Step-by-step explanation:

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Answer 2

EXPLANATION:-

$\sf\;Let\;the\;number\;be\;x\;and;2x\\\\Their\;cube=(x)^2\;and\;(2x)^3\\\\A.T.Q\\\\(x)^3+(2x)^3=83349\\\\9x^3=83349\\\\x^3=\frac{83349}{9}\\\\x^3=9261\\\\x=\sqrt[3]{9261}\\\\x=21$

So the value of x is 21 .

So the number are

==>x=21

==>2x=2(21)=42

So the numbers are 21 and 42