1.

The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 1/5(fraction) . Find the original number.

Answer»

Answer:

Step-by-step explanation:

Let,

Numerator be x

Denominator be (x +3)

FRACTION = x/(x+3)

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ACCORDING to the question,

\FRAC{x - 3}{x  + 3 + 2}  =  \frac{1}{5}  

\frac{x - 3}{x  + 5}  =  \frac{1}{5} \\  \\ 5(x - 3) = 1(x  + 5) \\  \\ 5x  - 15 =  x + 5 \\  \\ 5x - x = 5 + 15 \\  \\ 4x = 20 \\  \\ x =  \frac{20}{4}  \\  \\ x = 5

Then,

fraction =  \frac{5}{5 + 3}  =  \frac{5}{8}  

I HOPE this will HELP you


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