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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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

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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 ✡✡