icerina006 icerina006

15-04-2019
Mathematics

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The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.

Respuesta :

eric271828 eric271828

15-04-2019

Let's put it into perspective.

x/(x+5)

If increase by 3:

(x+3)/(x+8) = 3/4

Cross multiply.

4(x+3)=3(x+8)

4x+12 =3x+24

Solve algebraically.

4x-3x = 24-12

x = 12

Therefore, original fraction is:

12/17

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