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 find the original number

Answer»

Let,

Numerator be x
Denominator be (x +3)

FRACTION = x/(x+3)

----------------------------

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


-by ABHAY


Discussion

No Comment Found

Related InterviewSolutions