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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 the numerator and it becomes 1/4 when 8 is added to its denominator . Find the fraction.

Posted by Baisa Hkm ?? 5 years ago

CBSE > Class 10 > Mathematics

2 answers

Tanu Choudhary # 5 years ago

x-1/y=1/3 X/y+8=1/4 3x-3=y 4x=y+8(substitute value of y) 4x-3x=-3+8 X=5

0Thank You

Yogita Ingle 5 years ago

Let us assume thenumerator to be =x

Let us assume thedenominator to be =y

Hence the fractionbecomes=x/y

Accordingtothe given condition

(x−1)/y=1/3

⇒y=3x−3 ———-(i)

Accordingtothesecond givencondition,

x/(y+8)=1/4

⇒y+8=4x

⇒y=4x−8 ————(ii)

Combining(i)and(ii) we get,

3x−3=4x−8

⇒3x−4x=−8+3

−x=−5

⇒x=5

from(i)

y=15−3=12

So,the fraction is =5/12

2Thank You

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CBSE > Class 10 > Mathematics