self Maths Puzzle

How it is that when I buy yellow bananas at three shillings a bunch and the same number of red ones at four shillings a bunch I would get two more bunches for the same amount if I divided the money evenly between the yellow and red bananas?

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self Other Question

Here is an odd little puzzle which occurred the other day at an archery meeting.

The young lady who carried off the first prize scored exactly one hundred points. Can you figure out how many arrows she must have used to accomplish the feat?
In the Battle of Hastings that occurred on October 14, 1066 Harold's forces formed 13 similar squares with exactly same number of soldiers in each square.

When Harold himself joined the fray and was added to the number of his soldiers in those thirteen squares a single huge square could be arranged. How many men there must have been in Harold's force?