Question

The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?

Answer 1

Ratio: 2:3
Let numbers be 2x, 3x
Given: (2x)^3 + (3x)^3 = 945
8x^3 + 27x^3 = 945
35x^3 = 945
x^3 = 945/35 = 27
x = 3
Difference between numbers = 3x - 2x = x
Hence difference = 3
Hope it helps.

Answer 2

Answer:

Difference of the numbers is=3.

Step-by-step explanation:

Let the number be in the ratio 2x:3x, and the Sum of their cubes that is=$(2x)^{3}+(3x)^{3}=945$

⇒$8x^{3}+3x^{3}=945$

⇒$35x^{3}=945$

⇒$x^{3}=27$

⇒$x=3$

Thus, the numbers are 2x,3x=2(3), 3(3)=6,9

Now, Difference of the numbers is=9-6=3.