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The middle of the triangle contains the square root of the sum of the three surrounding numbers.
Puzzle 15
Each of the following sets of letters can be made into a real word by adding three letters to the beginning, and the same three letters in the same order to the end.
For example, ANGLEM can have ENT added at the start and the end to become ENT + ANGLEM + ENT = ENTANGLEMENT.
ENT + ERTAINM + ENT = ENTERTAINMENT
RED + ISCOVE + RED = REDISCOVERED
ING + ROW + ING = INGROWING
ANT + IOXID + ANT = ANTIOXIDANT
MIC + ROCOS + MIC = MICROCOSMIC
Puzzle 16
I recently went to the shop and purchased 4 items.
Three of the items cost:
$1.50
$3.00
$4.00
There was quite a long queue, and as I was quite bored, I was playing with my pocket calculator whilst waiting.
Very curiously, the 4 prices added to the same number as I got when I multiplied the 4 prices together.
Hint: What do the 3 numbers add and multiply to give so far?
Answer: $0.50.
The three prices add to 1.50 + 3.00 + 4.00 = 8.50.
The three prices multiply to 1.50 x 3.00 x 4.00 = 18.00.
You might be able to see that adding another 0.50 will take the total to 9.00, and multiplying by another 0.50 will take the product to 9.00.
The answer can also be found using algebra. If we call the missing price P, we have:
1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P
8.50 + P = 18.00 x P
8.50 = 18.00 x P  P
8.50 = 17.00 x P
8.50 ÷ 17.00 = P
P = 0.50.
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