Question

the denominator of a rational number is greater than its numerator by3. If 3 is subtracted from the numerator and 3 is added to the denominator , the new number becomes 1/5. Find the original number​

Answer 1

Answer:-

Let the number be x/y.

Given:

The denominator is greater than the numerator by 3.

→ y = x + 3 -- equation (1)

And,

If 3 is subtracted from the numerator and added to denominator the number becomes 1/5.

→ (x - 3) / (y + 3) = 1/5

→ 5 * (x - 3) = y + 3

→ 5x - 15 = y + 3

Substitute the value of y from equation (1),

→ 5x - 15 = x + 3 + 3

→ 5x - x = 9 + 15

→ 4x = 24

→ x = 24/4

→ x = 6

Putting the value of x in equation (1).

→ y = 6 + 3

→ y = 9

Therefore, the required number x/y is 6/9.

Answer 2

Answer:

6/9

Step-by-step explanation:

let numerator be x

denominator =x+3

according to question

x-3/x+3+3= 1/5

5x-15=x+9. (by cross multiplication)

4x=24

x=6

numerator=6 and denominator=9