Question

The denominator of the Fraction is 3 more than the numerator. If 5 is added to both parts the resulting fraction is equivalent to 4/5. Find the fraction
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Answer 1

Answer:

7

—

12

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Step-by-step explanation:

Let number is

x+3

x

Now adding 5

⇒

x+8

x+5

=

5

4

⇒5x+25=4x+32

⇒x=7.

∴ the fraction is

x+5

x

=

7+5

7

=

12

7

Answer 2

Step-by-step explanation:

$= > \: let \: \: number \: is \: \frac{x}{x + 3} \\ now \: adding \: 5 \\ = > \frac{x + 5}{x + 8} = \frac{4}{5} \\ = > 5x + 25 = 4x + 32 \\ x = 5 \\ = > the \: fraction \: is \: \frac{x}{x + 5} \\ = > \frac{7}{7 + 5} = \frac{7}{12}$