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A fraction becomes ½ if 5 is subtracted from its numerator and 3 is subtracted from its denominator. If the denominator of this fraction is 5 more than its numerator, find the fraction.

• Solution

• Transcript "hi i'm shivani your math tutor from neto now we are having a question to find the fraction according to the given conditions first of all let's denote of a fraction by x by y so according to the given conditions a fraction becomes 1 by 2 if 5 is subtracted from the numerator which means x minus 5 and 3 is subtracted from the denominator which means y minus 3 it gives us 1 by 2 from here we obtain the equation as 2x minus y equals to 7 let us name this as equation number 1 and then if the denominator of this fraction is 5 more than its numerator find the fraction which means x plus y is equal to 5 so x minus 5 equal to minus 5 is our second equation now subtracting 2 from 1 what we get we get the value of x to be 12. now if we substitute this value of x equal to 12 in equation number 1 we get the value of y is 12 plus 5 equal to y so y equal to 17. so the x bar y is the numerator and denominator and our fraction becomes 12 by 17 which is the required solution for more such videos subscribe to lido and if you have any queries drop in the comment section thank you"

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