Question

If the event that x:y=5:3 then (8x-5y):(8x+5y)=?

Answer 1

Answer:

the answer is

25 :55 while cancelling

we get 5:11

Answer 2

The value of (8x-5y):(8x+5y) is 5:11

Given : The value of x:y is 5:3

To find : The value of (8x-5y):(8x+5y)

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the said ratio)

Here, we will be expressing x in terms of y.

So,

x:y = 5:3

x/y = 5/3

3x = 5y

x = 5y/3

Now, putting the value of x in the given ratio

= (8x-5y):(8x+5y)

= [{8 × (5y/3)} - 5y] : [{8 × (5y/3)} + 5y]

= [(40y/3) - (5y)] : [(40y/3) + (5y)]

= [(40y-15y)/3] : [(40y+15y)/3]

= (25y/3) : (55y/3)

= (25y/3) × (3/55y)

= 25/55

= 5/11

= 5:11

(This will be considered as the final result.)

Hence, the value of (8x-5y):(8x+5y) is 5:11