If 1 is added to the numerator of a fraction, the fraction becomes 1. If 1 is added to the denominator, the fraction becomes 1/2. Find the fraction.

A 1/3

B 1/2

C 2/3

D 3/4

Solution

Correct Answer: Option C

ধরি,
লব x, হর y
শর্তমতে,
(x +1)/y = 1
⇒ x + 1 = y ................(1)

আবার,
x/(y + 1) = 1/2
⇒ 2x = y + 1
⇒ 2x - 1 = y ..................(2)

(1) ও (2) হতে পাই,
2x - 1 = x + 1
⇒ x = 2

x এর মান (1) নং এ বসিয়ে পাই,
2 + 1 = y
⇒ y = 3

∴ ভগ্নাংশটি 2/3

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