Denominator of a proper fraction is 3 more than the numerator. If the fraction is squared, its denominator will be 39 more than the numerator. The fraction is
Solution
Correct Answer: Option A
ধরি,
ভগ্নাংশের লব = x
∴ হর = x + 3
প্রশ্নমতে,
(x + 3)2 - x2 = 39
⇒ x2 + 6x + 9 - x2 = 39
⇒ 6x = 39 - 9
⇒ 6x = 30
⇒ x = 30/6
⇒ x = 5
ভগ্নাংশটি = x/(x + 3) = 5/(5 + 3) = 5/8
ভগ্নাংশের লব = x
∴ হর = x + 3
প্রশ্নমতে,
(x + 3)2 - x2 = 39
⇒ x2 + 6x + 9 - x2 = 39
⇒ 6x = 39 - 9
⇒ 6x = 30
⇒ x = 30/6
⇒ x = 5
ভগ্নাংশটি = x/(x + 3) = 5/(5 + 3) = 5/8
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