Question

Solve this question Number 6

Answer 1

Hey There,


Here,
Let the numerator = x


Now the denominator exceeds the numerator by 5.


So, the denominator = x+5


The Original Fraction = $\frac{x}{x+5}$


Now, 2 is added to both numerator and denominator.

So, New Numerator = x+2

New Denominator = (x+5)+2 = x+7


This New Fraction is $\frac{4}{5}$

So, we can write:


$\frac{x+2}{x+7}=\frac{4}{5}\\ \\ \implies 5\times (x+2) = 4\times (x+7) \\ \\ \implies 5x+10=4x+28 \\ \\ \implies x = 18$

Thus, x = 18

So, x+5 = 23

Thus, the Original Fraction is $\frac{18}{23}$


Hope it helps
Purva
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