Question

c) If the numerator of a fraction is multiplied by 4 and the denominator is reduced
by 2, the result is 2. If the numerator of the fraction is increased by 15 and 2 is
subtracted from the double of the denominator, the result is . Find the fraction,​

Answer 1

Answer:

Let the fraction be

y

x

Then, according to the given conditions, we have

y−3

3x

=

11

18

and

2y

x+8

=

5

2

⇒11x−6y−18 and 5x+40=4y

⇒11x−6y+18=0 and 5x−4y+40=0

By cross-multiplication, we have

(−6)×40−(−4)×18

x

=

11×40−5×18

−y

=

11×(−4)−5×(−6)

1

⇒

−240+72

x

=

440−90

−y

=

−44+30

1

⇒

−168

x

=

−350

y

=

−14

1

⇒x=

−14

−168

and y=

−14

−350

⇒x=12 and y=25

Hence, the fraction is

25

12

HOPE THIS MAY HELP U!!!