25 km(v) A fraction becomes if 2 is added to both the numerator and the denominator.111, 3 is added to both the numerator and the denominator it becomes5Find thefraction6 About the author Eden
Answer: Let the fraction be y x Given that y+2 x+2 = 11 9 ⇒11x+22=9y+18 ⇒11x−9y+4=0→i ⇒ y+3 x+3 = 6 5 ⇒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= 9 11x+4 = 9 11(7)+4 = 9 81 =9 ∴Fraction is y x = 9 7 Reply
Answer:
Let the fraction be
y
x
Given that
y+2
x+2
=
11
9
⇒11x+22=9y+18
⇒11x−9y+4=0→i
⇒
y+3
x+3
=
6
5
⇒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=
9
11x+4
=
9
11(7)+4
=
9
81
=9
∴Fraction is
y
x
=
9
7