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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 become 1/4 when 8 is added to its denominator.Find the fraction

Posted by Vaibhav Bairagi 7 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Shifa Iram 7 years, 5 months ago

Let the fraction be x/y.According to data 1 is subtracted from the numerator and 8 is added to the denominator. X-1 1 -----=------ Y 3 3 (x-1)y 3x-y=3-(1) X ------=3 Y-8 4x=y+8 4x-y=8-(2) 3x-y=3 4x-y=8 (-)(+)(-) ------------ -1=-5 X=5 Substitute the value of x in equation (1) 3x-y=3 3×5-y=3 15-y=3 -y=3-15 -y=-12 y=12 The fraction is 5/12

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CBSE > Class 10 > Mathematics