Solving Equations
Five brothers stayed in the house with their mother. One day, their mother brought home some mangos.
Alex woke up first. As he was hungry, he ate \( \frac{1}{6} \) of the mangoes, and headed out.
Brian woke up next. As he was hungry, he ate \( \frac{1}{5} \) of what was left, and headed out.
Charles woke up next. As he was hungry, he ate \( \frac{1}{4} \) of what was left, and headed out.
Danny woke up next. As he was hungry, he ate \( \frac{1}{3} \) of what was left, and headed out.
Euler woke up next. As he was hungry, he ate \( \frac{1}{2} \) of what was left, and headed out.
Their mother came home and saw 3 mangoes in the basket. How many mangoes were there initially?
by
Venkatachalam J
A teacher writes 6 consecutive integers on the blackboard.
He erases one of the integers and the sum of the remaining five integers is 2016.
What integer was erased?
by
Paul Fournier
There are 100 people in a room, exactly 99% are physicist. How many physicist must leave the room to bring down the percentage of physicist to exactly 98%?
by
Rohit Gupta
True or False?
\[\text{If } ac = bd \text{ and } c = d, \text{ then it is certain that } a = b.\]
by
Paul Ryan Longhas
If we take a certain 2-digit integer and reverse its digits to form another 2-digit integer, the absolute difference between these two numbers is always divisible by which of the following numbers?
by
Chung Kevin