Three numbers are in the ratio 1-2-3 and the of their cubes is 98784-Find the numbers-

Question

Toppr Admin · Accepted Answer

Let the 1x-2x-amp-3x are the 3 numbers-xA0-x2234- sum of their cubes -x3-2x-3-3x-3-xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -98-84-xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -36x-3x3-9878436-2274x-x221A-2744-14-x2234-3 numbers are 14-28-42

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 98784.
Find the numbers.

Let the $1 x, 2 x & 3 x$ are the 3 numbers
$∴$ sum of their cubes $= x^{3} + (2 x)^{3} + (3 x)^{3}$
$= 98 + 84$
$= (36 x)^{3}$
$x^{3} = \frac{98784}{36} = 2274$
$x = \sqrt{2744} = 14$
$∴ 3$ numbers are $14, 28, 42$

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 98784.Find the numbers.

Let the 1x,2x&3x are the 3 numbers ∴ sum of their cubes =x3+(2x)3+(3x)3 =98+84 =(36x)3x3=9878436=2274x=√2744=14∴3 numbers are 14,28,42

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 98784.
Find the numbers.

Let the $1 x, 2 x & 3 x$ are the 3 numbers
$∴$ sum of their cubes $= x^{3} + (2 x)^{3} + (3 x)^{3}$
$= 98 + 84$
$= (36 x)^{3}$
$x^{3} = \frac{98784}{36} = 2274$
$x = \sqrt{2744} = 14$
$∴ 3$ numbers are $14, 28, 42$