Question

the numerator and denominator of a fraction are in the ratio 3 : 2. If 3 is added to the numerator and 2 is substracted from the denominator, a new fraction is formed whose value is 9/4 l. Find the original fraction​

Answer 1

Answer:

Let numerator of the fraction = 3x

and

Denominator of the fraction = 2x

( since, they are in ratio 3:2)

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

Thus,

The Original fraction = 3x/2x

= 3•5/2•5

= 15/10

Hence, the required fraction is 15/10.

Step-by-step explanation:

Answer 2

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Explanation:

Let the numerator be '3x'

Denominator be '2x'

According to the question:-

$\frac{3x + 3}{2x - 2} = \frac{9}{4}$

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

$= > 12x + 12 = 18x - 18$

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

$= > - 6x = - 30$

$\bold{x = 5}$

Therefore,the numerator will be 3x=3×15=15

Denominator will be 2x=2×5=10

Numerator=15

Denominator=10

Check:-

$=>\frac{15 + 3}{10 - 2} = \frac{18}{8} = \frac{9}{4}$