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
fraction​

Answer 1

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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 ✡✡

Answer 2

Answer:

Let the fraction be 3x/2x.

(3x+3)/(2x-2) = 9/4, or

12x+12 = 18x-18, or

18x-12x = 18+12 = 30

6x = 30, or

x = 5.

The fraction is 15/10.

Check (15+3)/(10–2) = 18/8 = 9/4. Correct.