Question

the numerator and denominator of a fraction are in the ratio 3:2 . if 3 is added to the numerator and 2is subtracted from the denominator, fraction 9/4is obtained. find the numerator and denominator of original fraction


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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Answer numerator is 15 and denominator is 10

Step-by-step explanation:

Let a number x be multiplied with 3 and 2 such that it makes the number the original numbers.

If 3 is added to numerator and 2 is subtracted from denominator then the fraction becomes 9/4.

Ratio is 3:2=3/2

Accordingly,

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

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

=> 12x+12=18x-18

=> 12x-18x=-18-12

=>-6x=-30

=>6x=30                            [The minus cuts off]

=>x=5                                [As (30/6)=5]

So numerator is 3x=3 * 5=15

So Denominator is 2x=2 * 5=10         [* means multiplication sign]

Hope it helps you :)