Question

two numbers are in the ratio of 4 :5 the difference of the cube is 61 find the number

Answer 1

let..
4=4x and 5=5x
a/c to problem
5x3-4x3=61
125x3-64x3=61
61x3=61
x3=1
x=1

Answer 2

Let the numbers be 4x and 5x .

From given data

(5x)^3-(4x)^3=61

125x^3-64x^3=61

61x^3=61

x^3=61/61

x=3√1

x=1