Question

The addition of numerator and denominator of a fraction is three less than twice the denominator. If the numerator and denominator are decreased by 1, the numerator becomes half the denominator. Find the fraction.​

Answer 1

Answer:

Let the numerator = x and the denominator = y So, the fraction = x/y According to the question, Condition I: x + y = 2y – 3 ⇒ x + y – 2y = – 3 ⇒ x – y = – 3 …(i) Condition II: ⇒ 2(x – 1) = y – 1 ⇒ 2x – 2 = y – 1 ⇒ 2x – y = 1 …(ii) On subtracting Eq. (i) from Eq. (ii), we get 2x – y – x + y = 1 + 3 ⇒ x = 4 On putting the value of x in Eq. (i), we get 4 – y = – 3 ⇒ y = 7 So, the numerator is 4 and the denominator is 7 Hence, the fraction is 4/7.Read more on Sarthaks.com - https://www.sarthaks.com/925164/the-sum-of-the-numerator-and-denominator-of-a-fraction-is-3-less-than-twice-the-denominator