Question

If the ratio of the sum and the difference of two numbers is 8 : 3, what is the ratio of the two numbers?

Answer 1

Answer:

Answer is 11:5

Step-by-step explanation:

I hope this answer helps you....

Answer 2

GiVeN :-

• Ratio of Sum and Difference of two numbers = 8:3

To FiNd :-

• Ratio of the two numbers

SoLuTiOn :-

Let the larger number be x

And,

Smaller Number be y

Then,

• Sum of two numbers = (x + y)

• Difference of two numbers = (x - y)

Now,

• Ratio of the sum and difference of two numbers = 8:3. ----(given)

So,

$\implies \: \frac{(x + y)}{(x - y)} = \frac{8}{3} \\ \\ \implies \: 3(x + y) = 8(x - y) \\ \\ \implies \: 3x + 3y = 8x - 8y \\ \\ \implies \: 8y + 3y = 8x - 3x \\ \\ \implies \: 11y = 5x \\ \\ \implies \: \frac{x}{y} = \frac{11}{5}$

Hence,

Ratio of two numbers is 11 : 5