Question

1
(ii) A fraction reduces to
when 2 is subtracted from the numerator and 3 is added to
4
2
the denominator. But it reduces to when 6 is added to the numerator and
denominator is multiplied by 3. Find the fraction.
3
borth​

Answer 1

Step-by-step explanation:

given: a fraction =x\y

to find the value of x and y

solution =x-2 by y plus 3 =1\4

xplus6=2\3

from (1)

4x-8=y plus 3

4x -y = 11-0

x plus 6=2

xplus6 =24

x -2y =6-2

4

multiplying by 2

8x - 2y=22

x-2y=-6

7x=28

x=4

putting x in 2

4-2y=-6

2y=10

y=5

so the fraction is 4\5