Find the fraction which is equal to 1/2 when both it’s numerator and denominator are increased by 2. IT is equal to 3/4 when both are increa

Question

Find the fraction which is equal to 1/2 when both it’s numerator and denominator are increased by 2. IT is equal to 3/4 when both are increased by 12.

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Adeline 1 month 2021-08-18T11:43:18+00:00 1 Answer 1 views 0

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    2021-08-18T11:44:58+00:00

    Answer:

    Required Fraction:3/8

    Step-by-step explanation:

    Let the numerator be equal to x and the denominator be equal to y,

    ∴ Required fraction = x/y

    ATQ, x+2/y+2 = 1/2   ———— (1)

    x+12/y+12=3/4   ————-(2)

    Solving (1) and (2),

    2x+4 = y+2

    2x+2 = y  ————-(3)

    Substitute (3) in (2)

    x+ 12/2x+2+12=3/4

    x+12/2x+14 = 3/4

    4x + 48 = 6x + 42

    48-42 = 6x-4x

    6=2x

    6/2 = x

    3 = x

    ⇒  y=2(3) +2 = 6+2 = 8

    Hence, Required fraction = 3/8

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