Question

ratio of two numbers is 2:3.if the difference of their cubes are 1216.then find the numbers​

Answer 1

Answer:

$ratio \: of \: two \: numbers \: is = 2:3 \\ \\ let \: first \: number = 2x \\ \\ let \: second \: number = 3x \\ \\ according \: to \: question \\ \\ {(3x)}^{3} - ( {2x)}^{3} = 1216 \\ \\ 27 {x}^{3} - 8 {x}^{3} = 1216 \\ \\ 19 {x}^{3} = 1216 \\ \\ {x}^{3} = \frac{1216}{19 } \\ \\ {x}^{3} = 64 \\ \\ {x}^{3} = {4}^{3} \\ \\ x = 4 \\ \\ first \: number = 2x = 2 \times 4 = 8 \\ \\ 2nd \: number = 3x = 3 \times 4 = 12$