Question

denominator of a fraction is 2 more than the numerator . if both numerator and denominator are increased by 10 , a simplified result is 9/10. Find the original fraction. Do not simplify

Answer 1

Let the numerator = x

The denominator of a fraction is 2 more than the numerator

So, the denominator = x + 2

if both numerator and denominator are increased by 10, a simplified result is 9/10.

So,

`(x+10)/((x+2)+10)=(9)/(10)`

Solve for x:

`\begin{gathered} (x+10)/(x+12)=(9)/(10) \\ \\ 10(x+10)=9(x+12) \\ 10x+100=9x+108 \\ 10x-9x=108-100 \\ x=8 \end{gathered}`

so, the original fraction will be = 8/10

So, the answer will be = 8/10