Question

If the sum of two numbers and the difference of two numbers are in the ratio of 8:5 find the ratio of the numbers?

Answer 1

Answer:

Step-by-step explanation:

The question has been solved in the corresponding attachment..

Answer 2

Given: Sum of two numbers and the difference of two numbers are in the ratio 8:5

To find: Ratio of the numbers

Let: The numbers be $x$ and $y$

Solution: According to the given question,

The ratio of sum and difference of the numbers is 8:5

⇒ $\frac{x \ +\ y}{x \ -\ y} = \frac{8}{5}$

Using Cross multiplication:

⇒ $5 (x + y) = 8(x - y)$

⇒ $5x + 5y = 8x - 8y$

⇒ $8x - 5x = 5y + 8y$

⇒ $3x = 13y$

⇒ $\frac{3x}{y} = 13$

⇒ $\frac{x}{y} = \frac{13}{3}$

Hence, the ratio of the numbers is 13:3.