Question

In a fraction, twice the numerator is 2 more than the denominator. If 3 is added the numerator and denominator. The new fraction will be 2/3...find the orginal fraction.

Answer 1

Let the numerator be x
Denominator = 2x − 2
Therefore the fraction = x/2x − 2
Given when 3 is added to both the numerator and denominator, the fraction becomes 2/3.
Hence (x + 3)/(2x  − 2 + 3) = 2/3 
⇒ (x + 3)/(2x + 1) = 2/3 
⇒ 3x + 9 = 4x + 2 
⇒ x = 7


Therefore the fraction is 7/12. 

Give me brainliest please.

Answer 2

In a fraction, twice the numerator is 2 more than the denominator

let numerator be x

denominator = 2x - 2

so fraction =  x/2x - 2

now,

If 3 is added the numerator and denominator. The new fraction will be 2/3

so

x +3/2x - 2 +3 = 2/3

x +3 /2x +1 = 2/3

3(x+3) = 2(2x +1)

3x +9 = 4x +2

9-2 = 4x - 3x

x = 7

now

denominator = 2x - 2

                         = 2*7 - 2 = 14 - 2

=12

hence the fraction  is 7/12

:)