Question

the denominator of a fraction is 4 more than numerator if denominator is increased by 1 and numerator is decreased by 1 then the fraction becomes 4 by 7
(a) if the denominator is x then it's numerator is
(b) the orginal fraction in form
(c) denominator and numerator after it increased and decreased respectively
(d) original fraction is ​

Answer 1

Step-by-step explanation:

Correct option is

A

4

Let the fraction be

y

x

As per the given statements,

y+1

x−1

=

4

1

⇒4x−4=y+1

⇒4x−y=5 --- (1)

Also,

y−1

x+1

=

3

2

⇒3x+3=2y−2

⇒3x−2y=−5 --- (2)

Multi[plying eqn (1) by 2 and subtracting eqn (2), we get

2(4x−y)−(3x−2y)=2(5)−(−5)

⇒5x=15⇒x=3

Substituting this value of x in eqn (1),

4(3)−y=5

⇒y=7

∴x=3;y=7