TCS Company Numerical Ability Algebra

Find X^y+y^x=46 then Find X and Y values

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Find X^y+y^x=46.Find X and Y values 15 students join a summer course.Every day 3 students are on duty after school to clean the class rooms.After the course,it was found that every pair of students has been on duty exactly once.How many days does the course last for(a)35(b)45(c)(105(d)none of these