Question

The numerator of a fraction is 3 less than the denomirator . If both the numerator and denomirator are increased by 2, the new fraction becomes 6/7. Find the original fraction​

Answer 1

Answer:

Step-by-step explanation:

→ 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