The numerator of a fraction is 5 more than the denominator. If 3 is added to both numerator and denominator the fractions becomes 2. What is the original fraction?

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.

center= (-2,0)

radius= sqrt2/2

step-by-step explanation:

part a: 1.08

part b: 27.59