Question

What number must be added to each of the ratio 8:36 to make it equal to 1:3​

Answer 1

6 must be added to each of the ratio 8:36 to make it equal to 1:3​

Explanation:

We have to make the ratio 8:36 equal to 1:3, Hence we must add the number to both 8 and 36,

So, This is the equation,

if x is the number that must be added

(8+x):(36+x) = 1:3

solving this,

`(8+x):(36+x) = 1:3\\(8+x)/(36+x) = 1/3\\8+x=(1/3)(36+x)\\8+x=36/3+x/3\\8+x=12+x/3\\\\x=12-8+x/3\\x-(x/3)=4\\(3x/3)-(x/3)=4\\\\2x/3=4\\2x=12\\x=12/2\\\\x=6`

Hence 6 must be added to 8 and 36 to get 1:3,

checking,

(8+6):(36+6)

14:42

7:21

1:3

Hence we get the correct answer.