Question

The numerator of a fraction is 3 less than the denominator
If both the numerator and denominator are incerased by 2,
the next feaction becomes 6/7 find the original number​

Answer 1

Step-by-step explanation:

Hiii friend,

Let the denominator of the fraction be X.

Then the numerator of the fraction = (X-3)

Fraction = Numerator/Denominator = X-3/ X.

Numerator and denominator are increased by 2 then the Numerator and denominator becomes (X-3+2) and (x+2).

Fraction = Numerator/Denominator =(X-3+2)/(x+2).

According to question,

(X-3+2)/(x+2) = 6/7

X-1/X+2 = 6/7

7(X-1) = 6(X+2)

7X-7 = 6X+12

7X-6X=12+7

X = 19

Numerator = (X-3) =(19-3) = 16

And,

Denominator =(X) = 19

Therefore,

Original Fraction = Numerator/ Denominator = (X-3)/X=19/16

HOPE IT WILL HELP YOU.... :-)

$\huge{ son \: prodigal}$