Question

in the ratio of the sum and the difference of two numbers is 8:3 .what is the ratio of the two numbers

Answer 1

hey this will be the answers

Answer 2

✬ Ratio of two numbers = 11 : 5 ✬

Step-by-step explanation:

Given:

• Ratio of sum and difference of two numbers is 8 : 3.

To Find:

• What is the ratio of the two numbers ?

Solution: Let the larger number be x and smaller number be y. Therefore,

• Sum of two numbers = x + y
• Difference of two numbers = x – y

Now, Ratio of sum and difference of these two numbers is 8 : 3

A/q

$\implies{\rm }$ (x + y) / (x – y) = 8/3

$\implies{\rm }$ 3 (x + y) = 8 (x – y) [ By cross multiplication ]

$\implies{\rm }$ 3x + 3y = 8x – 8y

$\implies{\rm }$ 3x – 8x = – 8y – 3y

$\implies{\rm }$ – 5x = – 11y

$\implies{\rm }$ 5x = 11y

$\implies{\rm }$ x/y = 11:5

Hence, The ratio of two numbers will be = x : y = 11 : 5