if the sum of numerator and denominator of a fraction is 8. if 1 is added to the numerator and the denominator the fraction increased by 1/15.  Find fraction. 

Asked by sonali | 23rd Feb, 2018, 11:13: AM

Expert Answer:

begin mathsize 16px style Let space numerator space of space the space fraction space be space straight x space and space denominator space be space 8 minus straight x.
Then space fraction space is space fraction numerator 8 over denominator 8 minus straight x end fraction.
fraction numerator 8 plus 1 over denominator 8 minus straight x plus 1 end fraction equals fraction numerator 8 over denominator 8 minus straight x end fraction plus 1 over 15
fraction numerator 9 over denominator 9 minus straight x end fraction equals fraction numerator 8 over denominator 8 minus straight x end fraction plus 1 over 15
Solving space this space quadratic space equation space you space will space get space the space answer.
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Answered by Sneha shidid | 23rd Feb, 2018, 11:36: AM