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AnilSinghBora
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Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(ii) A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction. Q.4(2)

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The solution of exercise3.5 10th math of question no.4 part 2 how i solve this question. Its fraction type question so i am not able to solve this question Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(ii) A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.

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  1. Let the fraction be x/y.

    So, as per the question given,

    (x -1)/y = 1/3 => 3x – y = 3…………………(1)

    x/(y + 8) = 1/4  => 4x –y =8 ………………..(2)

    Subtracting equation (1) from (2) , we get

    x = 5 ………………………………………….(3)

    Using this value in equation (2), we get,

    (4×5)– y = 8

    y= 12

    Therefore, the fraction is 5/12.

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