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Answer: 46: taken in pairs of numbers, square the first and reverse the digits, 8 * 8 = 64, = 46.
Puzzle 610
At the annual BrainBashers puzzle discussion conference, 20 people attended.
At the start of the conference, each person shook hands with every other person, how many handshakes took place in total?
[Ref: ZOXV]
Direct Link: www.brainbashers.com?ZOXV
Hint: How many hands did the first person shake?
Answer: 190.
The first person shook hands with 19 others, the second had already shook hands with the first and therefore shook 18 hands, etc: 19+18+17+16+15+14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 190.
These are the numbers 14 15 16 17 18 19 20 21, but spaced incorrectly.
Puzzle 612
I have three children.
The youngest is the same age as the first digit in my age, another is the same age as the second digit in my age, and the third is the same age as the sum of the two digits in my age.
If I was AB years of age (which is really 10 x A + B), my youngest child would be A years old, another would be B years old and the third would be A + B.
The total is therefore:
(10 x A + B) + A + B + (A + B) = 33
10A + B + A + B + A + B = 33
12A + 3B = 33
The first value for A that makes sense is A = 2, making B = 3. Although mathematically I could currently be 17, which would make my children 1, 7 and 8. This would have made me 9 years of age when I had my first child, which I wasn't!
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