Question

the numerator and the denominatora 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

I think so this is the ans

Answer 2

Hello!!!

Here's The Answer :

$<b><i> Let the numerator be 3x.$
Denominator be 2x.

Adding 3 to numerator = 3x + 3
Subtracting 2 to denominator = 2x - 2

=>According To Question.
(3x + 3) / (2x - 2) = 9 /4
3x + 3 / 2x - 2 = 9 /4
4 (3x + 3 ) = 9 (2x - 2)
12x + 12 = 18x - 18
12x - 18x = -18 - 12
-6x = - 30
x = -30 /(-6)
x = 30 /6
x = 5

=>Numerator
3x
3 × 5
15

=>Denominator
2x
2 × 5
10

So, the original fraction is 15 /10 .

$\huge {Hope It Helps!!!}$