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.
AnilSinghBoraGuru
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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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.