Question

The numerator of q fraction is 2 more than twice the denominator. If 2 is subtracted from the numerator and 5 is added to the denominator, the fraction reduces to unity. Find the fraction.

Answer 1

Hi...☺

Here is your answer...✌

Let the numerator and denominator be x and y respectively

Then

Fraction = x/y

Now,
According to the question,

x = 2y+2 .....(1)

And,

$\frac{x - 2}{y + 5} = 1 \\ \\ x - 2 = y + 5 \\ \\ 2y + 2 - 2 = y + 5 \: \: \: \: \: \: \: \: | from \: (1)| \\ \\ 2y - y = 5 \\ \\ y = 5$

Putting y = 5 in eq(1)
We get,

x = 2(5)+2

x = 10+2

x = 12

HENCE,

The Fraction = x/y = 12/5