Question

Ehen a certain number is added to the numerator and denominator of 9/7 , the new fraction is 5/7 the number is (a) 10
(b) 9
(c) 11
(d) -1

Answer 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