the denominator of a fraction is 4 more than numerator if denominator is increased by 1 and numerator is decreased by 1 then the f

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 ​

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  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

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