If we add 1 to the numerator of a fraction becomes 1/2 and if 5 is subtracted from the denominator, it becomes 1. Find the fraction

Question

If we add 1 to the numerator of a fraction becomes 1/2 and if 5 is subtracted from the denominator, it becomes 1. Find the fraction

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Adeline 2 months 2021-11-23T05:21:57+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-23T05:23:03+00:00

    Solution

    Given :

    • If we add 1 to the numerator of a fraction becomes 1/2
    • if 5 is subtracted from the denominator, it becomes 1.

    Find :

    • These fraction

    Explanation

    Let,

    • Numerator be = x
    • Denominator be = y

    A/C to question,

    (If we add 1 to the numerator of a fraction becomes 1/2)

    ==> (x+1)/y = 1/2

    ==> 2x – y = -2 (1)

    Again,

    (if 5 is subtracted from the denominator, it becomes 1.)

    ==> x/(y-5) = 1

    ==> x – y = -5 (2)

    Subtract equ(1) & equ(2)

    ==> 2x – x = -2 + 5

    ==> x = 3

    Keep Value of x in equ(1)

    ==> 2 × 3 – y = -2

    ==> y = 6 + 2

    ==> y = 8

    Hence

    • Fraction will be (x/y) = 3/8

    _________________

    Answer Verification

    Case(1).

    (If we add 1 to the numerator of a fraction becomes 1/2)

    ==> (3+1)/8 = 1/2

    ==> 4/8 = 1/2

    ==> 1/2 = 1/2

    L.H.S. = R.H.S.

    Case(2).

    (if 5 is subtracted from the denominator, it becomes 1.)

    ==> 3/(8-5) = 1

    ==> 3/3 = 1

    ==> 1 = 1

    L.H.S. = R.H.S.

    Thats proved.

    _______________

    0
    2021-11-23T05:23:52+00:00

    Given :-

    If we add 1 to the numerator of a fraction becomes 1/2

    if 5 is subtracted from the denominator, it becomes 1.

    TO Find :-

    These fraction

    Explanation

    Let,

    Numerator be = x

    Denominator be = y

    A/C to question,

    (If we add 1 to the numerator of a fraction becomes 1/2)

    ==> (x+1)/y = 1/2

    ==> 2x – y = -2 ——–(1)

    Again,

    (if 5 is subtracted from the denominator, it becomes 1.)

    ==> x/(y-5) = 1

    ==> x – y = -5 ———-(2)

    Subtract equ(1) & equ(2)

    ==> 2x – x = -2 + 5

    ==> x = 3

    Keep Value of x in equation (1)

    ==> 2 × 3 – y = -2

    ==> y = 6 + 2

    ==> y = 8

    Hence

    Fraction will be (x/y) = 3/8

    _________________

    Answer Verification

    Case(1).

    (If we add 1 to the numerator of a fraction becomes 1/2)

    ==> (3+1)/8 = 1/2

    ==> 4/8 = 1/2

    ==> 1/2 = 1/2

    L.H.S. = R.H.S.

    Case(2).

    (if 5 is subtracted from the denominator, it becomes 1.)

    ==> 3/(8-5) = 1

    ==> 3/3 = 1

    ==> 1 = 1

    L.H.S. = R.H.S.

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