Question

c) The sum of the numerator and denominator of a fraction is 2 more than twice the numerator.
If the numerator and denominator are reduced by 3, they are in ratio 3:4, find the fraction. (4m)​

Answer 1

Answer:

 $\frac{9}{11}$

Step-by-step explanation:

let numerator be x

let denominator be y

forming linear equation for 1st statement

sum of numerator + denominator= 2 + 2(numerator)

x+y= 2 + 2x

y - x= 2

y= x + 2---- (i)

sorming linear equation for second statement.

numerator -3 / denominator -3 = 3/4

$\frac{x-3}{y-3} = \frac{3}{4}$   -------(ii)

replacing y as x + 2 in (ii)

x-3/ x + 2 - 3= 3/4

x - 3/ x - 1= 3/4

cross multiply

4x- 12= 3x- 3

x= 9

y= x + 2 so y= 9 + 2= 11

so fraction is

9/11