Answer:
Step-by-step explanation:
Given :-
The numerator of a fraction is 5 less than its denominator.
If 3 is added to the numerator and denominator both , the fraction becomes 4/5.
To Find :-
The Original Number
Solution :-
Let denominator of the fraction be = x
And then numerator be x – 5
Original fraction = (x – 5)/x
According to the Question,
⇒ (x – 5 + 3)/(x + 3) = 4/5
⇒ (x – 2)/(x + 3) = 4/5
⇒ 5(x – 2) = 4x + 12
(By cross multiplication)
⇒ 5x – 10 = 4x + 12
⇒ 5x - 4x = 12 + 10
⇒ x = 22
Original fraction = (x – 5)/x
Original fraction = (22 – 5)/22
Original fraction = 17/22
Hence, the original number is 17/22.
