Question

The denominator of a fraction is twice it's numerator. If 1 is added to both numerator and denominator the fraction becomes 2/3.Frame linear equation to the above data and find the fraction

Answer 1

Let numerator be x
Therefore denominator = 2x
Adding 1
Numerator = x+1
Denominator = 2x+1
ATQ
x+1/2x+1 = 2/3
by cross multiplying
3(x+1) = 2(2x+1)
3x+3 = 4x+2
3x-4x = 2-3
-x = -1
x = 1
Numerator = x = 1
Denominator = 2x = 2×1 = 2
Hence Fraction is 1/2

Hope it helps:)
Brainliest please:))

Answer 2

let numerator=x

then denominator=2x

then fraction=(x/2x)=1/2

so numerator=1 denominator=2

if we add 1to both then numerator=x+1=1+1=2 denominator=2x+1=2(1)+1=2+1=3 then fraction will become 2/3 as given in question.. so required fraction is 1/2

and linear equation is

$\frac{x + 1}{2 x + 1} = \frac{2}{3}$

by simplification we get 3x+3=4x+2

x-1=0

and fraction is 1/2