IN AN EXAMINATION 56% OF THE CANDIDATES FAILED IN ENGLISH AND 48% FAILED IN SCIENCE .IF 18% FAILED IN BOTH ENGLISH AND SCINCE ,FIND THE PERCENTAGE  OF THOSE WHO PASSED IN BOTH THE SUBJECTS

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OK- 

English = 56%  failed

Science= 48%  failed

18% failed in both.

Now, what’s 56%+48%=? It's 104% but 104% is never true since we know that the total number of students are taken as 100% hence the number of students failed is being  repeated , in other words, some students failed in both.

So we subtract 18 from 56% and 48% and we get= 56%-18%=48% and 48%-18%=30%

So  percentage of students  failed in English are 48% and that in science are 30%

So, total percentage of students failed in both subjects are 48%+30%=78%

Total percentage of students are 100 and PERCENTAGE OF THOSE WHO PASSED IN BOTH THE SUBJECTS are 100%-78%=22%

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