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A Cracker of a Christmas


crackerIt occurred to H3 that Christmas Day is really not that mathematical at all, except for how heavy the turkey might be in order to work out how long to cook it for. So, let us set the scene. You are more worried about what present you are going to get and whether Santa has remembered your favorite CD this year…then someone starts pulling the Christmas crackers and your relaxed brain is suddenly plunged into a logical nightmare when out pops a piece of paper with the following teaser on it;

The day before yesterday Bill was 7 years old. Next year he will turn 10. How is this possible?

See Post Support (scroll down the middle column) for the answer.

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Post Support

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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