Question 37
At the math class 25 students of the fifth grade receive a paper stick with an integer on it. Each student divides his number to $24$ and communicates the remainder to the math teacher. The sum of all remainders is $288$. Dany, one of the students, remarks that all the remainders of the students are different two by two, but his remainder equals the quotient he obtained.
a)
What is the number on Dany's stick?
b) Find the sum of the numbers written on the $25$ sticks, knowing that each student different from Dany, obtained a quotient one unit bigger than the remainder.
a)
What is the number on Dany's stick?
b) Find the sum of the numbers written on the $25$ sticks, knowing that each student different from Dany, obtained a quotient one unit bigger than the remainder.