The denominator of a rational number is greater than the numerator by 6 if the numerator and denominator are both increased by 2 the number becomes 3/5 find the original number ill mark your question brainliest if u give me corect amswer

7/13

Step-by-step explanation:

Let's call x= numerator

We know that :

Denominator= x+6

And

(numerator +2)/(denominator +2) = 3/5

So

(x+2)/(x+6+2)=3/5

(x+2)/(x+8)=3/5

(x+2)*5=(x+8)*3

5x+10=3x+24

2x=14

x=7

In the end

Numerator= x =7

Denominator=x+6 = 13

So the original number is 7/13

I hope this helps, have a beautiful day

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

the best estimate is 3 because   8 can only go into 24 3 times