Question

Denominator of a number is 4 less than its numerator. If 6 is added to the numerator it becomes thrice the denominator. Find the fraction.

Answer 1

Let the numerator of the number be x.

Then, denominator of the number = x – 4

∴ Fraction = `x/(x - 4)`  ...(i)

According to the question,

If 6 is added to numerator, it becomes thrice the denominator.

∴ x + 6 = 3(x – 4)

⇒ 3x – 12 = x + 6

⇒ 3x – x = 6 + 12

⇒ 2x = 18

⇒ x = `18/2`

∴ x = 9

Hence, fraction = `x/(x - 4)`

= `9/(9 - 4)`

= `9/5`