Question

if 2 numbers are in the ratio 4:5 and the difference in their cubes is 61. find the numbers​

Answer 1

Step-by-step explanation:

Let the two numbers be 4k and 5k.

Difference in their cubes =61 =>

${(5k)}^{3} - {(4k)}^{3} = 61 = > 125 {k}^3 - 64 {k}^{3}$

$= 61 = > 61 {k}^{3} = 61 = > {k}^3 = 1 = >$

k=1. Hence the two numbers are 4 and 5 respectively. Hope it helps you.