Ken's blog

Emperor Manos was standing outside his tent on a hill overlooking his vast army camped in tents in the square formation normally used in battle. General Pathos and a Royal Guard were with the Emperor, as was his sorcerer Morgan.

A raven briskly landed on a large branch of an oak tree. “Guard, shoot the raven, Zanora must not know of our plans,” commanded Emperor Manos.

The guard rapidly and expertly pierced the raven with an arrow, and it fell croaking from the tree striking the ground.

“Well done, guard. It was a spy bird sent by the High Priestess, Zanora, who uses its eyes and ears to observe what we are discussing so she can report it to King Kali for his attack tomorrow,” explained Emperor Manos.

“How many men are left in my army, General Pathos,” asked the Emperor.

“Lord Manos, prior to our last battle we had counted twelve million men, but sadly we lost quite a few,” replied General Pathos, eyes downcast.

“What about the number of men in King Kali’s army. What can you tell me, Morgan?” requested Emperor Manos.

“Lord Manos, my divinations have revealed a maximum of 19  million men,” replied Morgan.

“General Pathos, blow the horn for attack at dawn. When the battle starts we will see how things develop, but as the moon is full, Morgan could invoke the Moon Goddess Iona and have her conjure up 18 auxiliary units of soldiers in square formation to reinforce our army, if needed,” the Emperor informed General Pathos.

“Lord Manos, I’m glad to hear this. We will be ready at dawn for this massive and decisive battle to save our people from the evils of King Kali’s black magic,” responded General Pathos.

At dawn, Emperor Manos’ army attacks, but, after seeing the great mass of soldiers in King Kali’s army storming forward, the Emperor soon realizes that his army is greatly outnumbered.

“Your conjuring rite for the 18 units is needed, Morgan,” shouted Emperor Manos.

Morgan climbed onto a small mound and raised his hands to the Moon goddess Iona, sounding an invocation. After a short while,  eighteen units of fully-armed soldiers materialized out of a large mist just ahead of Emperor Manus’ army, nine units on either side forming a bull’s horn attack configuration.

“I have done as commanded, my Lord. The Moon Goddess Iona informs me that our army and King Kali’s are now equally matched with the same number of men,” said Morgan.

“Thank you, Morgan, you have performed an invaluable service,” exclaimed Emperor Manos

Then King Kali’s army splits up into 16 equal square units forming a semi-circle and attacking Emperor Manos’ army with great intensity.

“My Lord Manos, if I knew how many men there are in any one of the 16 units of King Kali’s army, I could create a resonance spell resulting in a multitude of ghostly apparitions that sow great confusion and disorientation among King Kali’s soldiers,” said Morgan.

“Yes, this will definitely save the day for our island Ruta,” enthused Lord Manos.

“Guard, summon Leonoros, the Court Astrologer, immediately. We need to calculate the number of men in any one of these 16 units,” shouted Lord Manos.

The guard hurried off to fetch Leonoros, the Court Astrologer.

To help Lord Manos win the battle, how many men would you say are in one of King Kali’s 16 equal units?

Can you also work out the number of men in one of the eighteen conjured units?

And while you are at it, what about the size of the opposing armies?