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Deepak Bora
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Find a fraction which becomes (1/2) when 1 subtracted from the numerator and 2 is added to the denominator, and the fraction becomes (1/3) when 7 is subtracted from the numerator and 2 is subtracted from the denominator.

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This is the Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for ICSE & CBSE Board.
Question Number 22 Exercise 3E of RS Aggarwal Solution
Here you have to Find a fraction which becomes (1/2) when a number is subtracted from the numerator and a number is added to the denominator, and the fraction becomes (1/3) when a number is subtracted from the numerator and a number is subtracted from the denominator.
you have to find the fraction.

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1 Answer

  1. Let the numerator be cans denominator be y
    fraction=x/y
    x-1/y+2=1/2
    2x-2=y+2
    2x-y=4…. ..(1)
    x-7/y-2=1/3
    3x-21=y-2
    3x-y=19……..(2)
    2x-y=4
    3x-y=19
    – + –
    ________
    -x=-15
    x=15
    putx=15 in equation (1)
    2x-y=4
    2×15-y=4
    30-y=4
    -y=4-30
    -y=-26
    y=26
    thus, the required fraction is 15/26

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