Question

the numerator of a fraction is 3 less than denominator if the numerator and denominator are both increased by 2 the new fraction becomes 67.​

Answer 1

Answer:

Let the denominator of the fraction be X.

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

∴ Fraction = X-3/X.

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

New Fraction =(X-3+2)/(X+2).

ATP,

(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

Denominator =(X) = 19

∴ Original Fraction = (X-3)/X= 19/16

Hope this helps u : )