1. A father left 17 cows to his three sons, with instructions that the first son get 1/2, the second son, 1/3, and the youngest one, 1/9 of the cows. This, would have resulted in fractions of a cow, which would be of no use to anybody. How could they follow the father's instructions?

A friend offered to give them his one cow, making a total of 18. So it was possible to give the first son, 1/2 (9) of the cows, the second son, 1/3 (6), and the youngest son, 1/9 (2).

Since 9 + 6 + 2 = 17, it was possible to return the loaned cow.

Can you explain the "mystery" in the case of the cows?

2. Using **four 4's **and any operations, try to write equations that have the numbers 0 to 30 as the answer.

3. One night the King couldn't sleep, so he went down into the Royal kitchen, where he found a bowl full of mangoes. Being hungry, he took 1/6 of the mangoes.

Later that night, the Queen was hungry and couldn't sleep. She, too, found the mangoes and took 1/5 of what the King had left.

Still later, the first Prince awoke, went to the kitchen, and ate 1/4 of the remaining mangoes.

Even later, his brother, the second Prince, ate 1/3 of what was then left.

Finally, the third Prince ate 1/2 of what was left, leaving only three mangoes for the servants..

How many mangoes were originally in the bowl?