Puzzle 197
Can you find a five-digit number that …
… if you place a 9 at the beginning is four times larger than if you place a 9 at the end instead?
Puzzle Copyright © Kevin Stone
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Hint
Adding 900,000 to the numbner is the same as placing a 9 at the beginning.
Answer
23,076.
Reasoning
Placing the 9 at the beginning is equivalent to adding 900,000 (for example, 12,345 + 900,000 becomes 912,345).
Placing the 9 at the end is equivalent to multiplying by 10 and adding 9 (for example, 12,345 x 10 + 9 becomes 123,459).
Let's call the unknown number k, and we know that one of these numbers is 4 times the other, so:
k + 900,000 = 4 x (10k + 9)
k + 900,000 = 40k + 36
900,000 − 36 = 40k − k
899,964 = 39k
899,964 ÷ 39 = k
Therefore, k = 23,076.
Double-Checking
923,076 = 4 x 230,769.
Puzzle 198
Using the letters EEEEGGLLOOSS complete this grid. The grid reads the same across as down.
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
One of the words begins with the letter S.
Answers
| D |
O |
G |
S |
| O |
G |
L |
E |
| G |
L |
E |
E |
| S |
E |
E |
K |
Puzzle 199
What comes next in this sequence:
boron · carbon · nitrogen · oxygen · ?
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Hint
The first in the list would be Hydrogen.
Answer
Fluorine.
These are the elements in atomic number order.
Puzzle 200
Can you find every occurrence of the word NOVEMBER that appears in this grid (horizontally, vertically, or diagonally)?
The hint will reveal the number of times it occurs, but where are they?
Note: this puzzle is not interactive, and the letters cannot be selected.
Puzzle Copyright © Kevin Stone
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Hint
The word NOVEMBER appears 22 times.
Answer
The word NOVEMBER appears 22 times.
