On a fine sunny afternoon at the zoo, a visitor was admiring the three giant
tortoises snoozing in the sun. "Did you know that these tortoises can live up
to 150 years?" asked a zookeeper.

"No," replied the visitor. "How old are these?"

"That would be too easy!" exclaimed the zookeeper. "How old are you?"

When the visitor told him, he thought for a moment, then said "The sum of their
ages is four times your age, and the product of their ages is 3150."


The visitor went and sat down on a park bench, and calculated for a bit. Coming
back to where the zookeeper was still puttering around, she said, "You didn't
give me enough information."

"Well," said the zookeeper, "only one of the tortoises is older than you."

"Aha!" cried the visitor. "Then I know how old they are."


x + y + z = 4 * a
x * y * z = 3150
x < a
y < a
z > a