TS ICET 24 May 2019 Shift 1 Paper

Question : 127 of 200

Marks: +1, -0

A fraction becomes

4/5

if 1 is added to both its numerator and denominator while it becomes

1/2

if 5 is subtracted from its numerator and denominator. The fraction is

Solution:

Let the fraction be

n/d

Given

\;{n+1}/{d+1}=\;{4}/{5} ⇒ 5 n-4 d=-1

→ (1)

\;{n-5}/{d-5}=\;{1}/{2} ⇒ 2 n-d=5

→ (1)
Solving (1) and (2) n = 7, d = 9
Required fraction 7/9

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