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A fraction becomes 1/3 when 1 …

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A fraction becomes 1/3 when 1 is subtracted from numerator and it becomes 1/4 when 8 is added to its denominator.find the fraction

Posted by Yuvaraj K E 5 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 8 months ago

Let the numerator = x

Let the denominator = y

Now,

fraction becomes = x/y

According to the first condition,

(x − 1)/y = 1/3

⇒y = 3x − 3 ......(1)

According to the second condition,

x/(y + 8) = 1/4

⇒y + 8 = 4x

⇒y = 4x − 8 .........(2)

from (1) and (2),

3x − 3 = 4x − 8

⇒3x − 4x = −8 + 3

−x = −5

⇒x = 5

from (1), we get

y = 15 − 3 = 12

So, the required fraction = 5/12

0Thank You

Radha Sharma 5 years, 8 months ago

5/12

0Thank You

ANSWER

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CBSE > Class 10 > Mathematics