NOVEMBER 1, 2006

MYSTERY

HOW CAN 7 + 8 = 12?  One possibility is that the number system being used is to the base 13.  However, what we are looking for here is a different digit to be substituted for each of the letters in the following example in order to give a correct addition.  There are three possible answers.

SEVEN
EIGHT
TWELVE

SEE NEXT MONTH'S BEARTOWN NEWS FOR THE ANSWER

FROM LAST MONTH

IT IS APPLE PICKING TIME

This harvest time, the orchards of Mr. MacIntosh, Mr, Jonathan, and Mr. Delicious have yielded 314,827 apples, 1,199,533 apples and 683,786 apples, respectively. While lunching with Jonathan soon after the harvest, MacIntosh mentioned the number of apples he would have left over if he divided his harvest equally among all the apple dealers.
"Why don't you sell those extra apples to me," suggested Jonathan, "and I'll be able to divide my apples equally among all the dealers."
"Sorry," said MacIntosh, "but Mr. Delicious made the same suggestion for the same reason, and I've already accepted his offer."
HOW MANY APPLE DEALERS ARE THERE???
The number of dealers must be a divisor of 314,827 + 1,199,533 = 1,514,360 and of 314,827 + 683,786 = 998,613.  The greatest common divisor of these two numbers is 131.  Since 131 is a prime, there are 131 dealers.

CLICK BELOW FOR HUMMING HORSES

Don't forget to click BACK