The denominator of a fraction is 4 more than numerator if denominator

1.	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» 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

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»

Step-by-step EXPLANATION:

CORRECT option is

Let the fraction be

As per the given statements,

y+1

x−1

⇒4x−4=y+1

⇒4x−y=5 --- (1)

Also,

y−1

x+1

⇒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