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Deepak Bora
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A fraction becomes 1/3 when 2 is substracted from the numerator and it becomes 1/2 when 1 is subtracted from the denominator. Find the fraction.

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ICSE & CBSE Board Question Based on Linear Equations in two Variables of RS Aggarwal
In this question A fraction becomes respectively what when a number is substracted from the numerator and when a number is subtracted from the denominator.
You have to find the fraction.
This is the Question Number 49 Of Exercise 3E of RS Aggarwal Solution.

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2 Answers

  1. Let the numerator be x and denominator be y

    According to question,

    x-2/y=1/3

    3x-6=y…(1)

    x/y-1=1/2

    2
    x=y-1…..(2)

    Substitute eq.(1) in eq.(2)

    2x=3x-6-1

    2x-3x=-7

    -x=-7

    x=7

    Substitute this value in eq.(2)

    2x=y-1

    2(7)=y-1

    14+1=y

    y=15

    So fraction become 7/15

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