A fraction becomes 2 upon 8 when 2 is subtracted from the numerator and 2 is added to the denominator . It becomes 3 upon 8 when two is added to the numerator and 6 is added to the denominator . Find the fraction
Answers
Answered by
1
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
Explanation:
Answered by
1
Answer:
x = 7 and y = 18
∴ x/y = 7/18
Explanation:
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