A fraction becomes 5 7 , if 2 is added to both its numerator and denominator. If 4 is added to numerator and 3 is added to denominator, the fraction becomes 7 8 . Find the original fraction.
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A fraction becomes 9/11 if 2 is added to both numerator and denominator if 3 is added to both the numerator and denominator it becomes 5/6 find the fraction
A fraction becomes 9/11 if 2 is added to both numerator and denominator. If 3 is added to both numerator and denominator it becomes 5/6, find the fraction by substitution method. Hence, the fraction is 7/9.
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Step-by-step explanation:
Let the fraction be yx
Given that y+2x+2=119
⇒11x+22=9y+18
⇒11x−9y+4=0→i
⇒y+3x+3=65
⇒6x+18=5y+15
⇒6x−5y+3=0→ii
⇒i×5−ii×9
⇒55x−45y+20=0
⇒54x−45y+27=0
eq(i)−eq(ii)
⇒x−7=0
⇒x=7
⇒y=911x+4
=911(7)+4=981=9
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