Question

The ratio of two numbers is 3 : 5 and the difference of the cubes of the numbers is 784. find the sum of the numbers.

Answer 1

16 is the answer to your question

Answer 2

Answer:

16

Step-by-step explanation:

We are given that The ratio of two numbers is 3 : 5

Let the ratio be x

So, the numbers are 3x and 5x

Now we are given that the difference between the cubes of the numbers is 784

⇒$(5x)^3-(3x)^3=784$

⇒$125x^3-27x^3=784$

⇒$98x^3=784$

⇒$x^3=\frac{784}{98}$

⇒$x^3=8$

⇒$x=\sqrt{3}{8}$

⇒$x=2$

Numbers  : $3x = 3 \times 2 = 6$   , $5x = 5 \times 2 = 10$

So, the numbers are 6 and 10

Now we are supposed to find the sum of the numbers

So, 10+6 = 16

Hence the sum of the numbers is 16