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CBSE Class 9 Answered

The numerator of a fraction is 4 less than its denominator . If the numerator is decreased by 1 then the denominatir is 8 times the numerator.  Find fraction
Asked by Nimmi | 16 Jul, 2018, 02:54: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space numerator space of space the space fraction space equals straight x space space and space the space denominator space equals space straight y
Fraction space equals space straight x over straight y
The space numerator space is space 4 space less space than space its space denominator.
rightwards double arrow space straight x equals space straight y space minus space 4 space space
straight x space minus space straight y space equals space minus 4 space..... left parenthesis 1 right parenthesis
The space numerator space is space decreased space by space 1 space then space the space denominator space is space 8 space times space the space numerator.
straight x space minus space 1 space equals 8 left parenthesis straight x space minus 1 right parenthesis space space space
rightwards double arrow 7 straight x space equals 7
rightwards double arrow straight x space equals space 1
From space left parenthesis 1 right parenthesis space comma space we space get
straight y space equals space straight x space plus space 4 space equals space 1 space plus space 4 space equals space 5
Fraction space equals 1 fifth



space

end style
Answered by Yasmeen Khan | 16 Jul, 2018, 06:06: PM
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