Question

The numerator and the denominator of a fraction are in the ratio 3:2. I 3 is added to the numerator
and 2 is subtracted from the denominator, a new fraction is formed whose value is Find the original
ffraction​

Answer 1

$\huge\star\:\:{\orange{\underline{\pink{\mathbf{Answer}}}}}$

The numerator and the denominator of a fraction are in the ratio 3:2.

Assume that the number is 3x and denominator be 2x.

Also said that, if 3 is added to the numerator and 2 is subtracted from the denominator, a new fraction is formed.

As per given condition,

→ (3x + 3)/(2x - 2) = 9/4

→ 4(3x + 3) = 9(2x - 2)

→ 12x + 12 = 18x - 18

→ 6x = 30

→ x = 5

Therefore,

Numerator = 3x = 3(5) = 15

Denominator = 2x = 2(5) = 10

Hence, the fraction is 15/10.

Answer 2

Answer:

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