Math, asked by Ravikishore4262, 11 months ago

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?

Answers

Answered by Venomm5
29

Answer:

Step-by-step explanation:

The question has been solved in the corresponding attachment..

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Answered by qwsuccess
5

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.

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