Question

the numerator of a fraction is 3 less than its denominator if the numerator increased increased by 3 the fraction becomes 1/2find the original fraction​

Answer 1

Answer:

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Step-by-step explanation:

Let the fraction be x /x+3

⇒

x+7

x+4

=

77

12

+

x+3

x

⇒

x+7

x+4

=

77(x+3)

89x+36

⇒77(x

2

+7x+12)=89x

2

+89.7x+36x+36.7

⇒12x

2

+120x−672=0

⇒x

2

+10x−56=0

⇒(x+14)(x−4)=0

⇒x=4 as x can not be negative

∴the fraction is

7

4

Answer 2

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