Question

the numerator and the denominator of a fraction are in the ratio 3:2. if 3 is added to the numerator and 2 is subtracted from the denominator a ,New fraction is formed whose value is 9/4. find the original fraction

Answer 1

let neumorator and denominator be 3x 2x
Atq
3x+3/2x-2 = 9/4
12x+12 = 18x - 18
12x-18x = -18-12
-6x = -30
x = 5
neumorator = 3×5 = 15
denominator = 2×5 = 10
fraction = 15/10
3/2

Answer 2

GOOD MORNING..... ☺️

Hello user☺️✌️

Given that:-

Numerator and the denominator of a fraction are in the ratio 3:2

And,

If 3 is added to the numerator and 2 is subtracted from the denominator, a new fraction is formed whose value is 9/4.

SOLUTION:-

Let numerator of fraction = 3x

And,

Denominator = 2x

(because they are in ratio 3:2)

According to 2nd condition ;
=>( 3x + 3 ) / (2x - 2) = 9/4

=> 4(3x +3) = 9( 2x -2)

=> 12x + 12 = 18x -18

=> 18x -12x = 12 +18 = 30

=> 6x = 30

=>x = 5

Here,

the Original fraction => 3x / 2x

=> 3×5 / 2 ×5

=> 3/2 answer

✡✡ hope it helps ✡✡