2. In a group of x children, 10 like Maths and 25 like English. 7 like both subjects and 17 like neither. How many children are there in the group? (Hint: If 10 children like Maths, this does not mean ONLY 10 children like Maths.)
45 This problem best solved with the help of Venn diagrams and theory of sets (I solve it with the help of Venn diagrams which i can not draw here) .
students like only maths 3 (1) students like only English 18 (2) students like both English and Maths 7 (3) and students dont like either subjects 17(4) now total students =sum of (1)+(2)+(3)+(4) = 3+18+7+17 = 45
therefore total students = 45 or X = 45