Question

Ratio of number is 3:5 and difference of cube is 784 find the sum ?

Answer 1

Answer:

Brainly.in

What is your question?

1

Secondary School Math 13 points

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.

Ask for details Follow Report by Swapnshree1722 12.07.2017

Answers

MOWLI

MOWLI Ambitious

16 is the answer to your question

2.3

3 votes

THANKS 5

Comments (1) Report

nandhithab

Can u explain with steps

Log in to add a comment

wifilethbridge Ambitious

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