Question

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

Answer 1

Step-by-step explanation:

Let the numerator be 3x and the denominator be 2x.

According to the question,

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

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

=> 12x + 12 = 18x - 18

=> 18x - 12x = 12 + 18

=> 6x = 30

=> x = 5

Therefore, the original fraction is,

3x/2x = 15/10

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