In bringing “THE PUZZLE KING” to a conclusion, the author
can only express the hope that he has been successful in his
endeavour to make it not only an amusing work but also a _useful_ one.
The impossibility of making a book of this nature perfect is fully
recognised, and corrections or contributions will be cordially
received, and the contributor liberally remunerated.
All communications must be sent to 44 Pitt Street, Sydney, addressed
to the author, who tenders to all readers of “THE PUZZLE
KING”--
AN ARITHMETICAL TOAST.
“Here’s an _addition_ to your wages.
Here’s a _subtraction_ from your wants and miseries.
Here’s a _multiplication_ of your joys and happiness.
Here’s a _division_ amongst your enemies.
Here’s a _reduction_ of your hours of labour.
And here’s a hope that you’ll all be able to _practice_
and take _interest_ in “THE PUZZLE KING.”
Answers.
(1) 12,111.
(2) 24s.
(3) 18.
(4) He lost £13 6s. 8d.
(5)
+-----+-----+-----+-----+
| 485 | 463 | 475 | 465 |
+-----+-----+-----+-----+
| 461 | 467 | 487 | 473 |
+-----+-----+-----+-----+
| 483 | 477 | 457 | 471 |
+-----+-----+-----+-----+
| 459 | 481 | 469 | 479 |
+-----+-----+-----+-----+
(6) See No. 225.
(7) £30.
(8) 675 springs.
(9) [Illustration]
(10)
Suppose a man and woman to marry, the man to have
had a son by a former marriage (the gentleman who
leaves the money); also the woman has a daughter
by a former marriage. This son and daughter get
married, and have a son. This is the scheme of
kindred, and answers the conditions of the paradox.
(11) 4d. There were three of them--grandfather, father, and son.
(12) The total score was 240. The 1st player scored 30;
the 2nd and 3rd, 24 each; the 4th, 5th, and 6th, 12
each; the 7th, 8th, 9th, and 10th, 30 each; and the
11th, 6.
(13) They tip the pail over horizontally; if any part of
the bottom can be seen without spilling the milk it
is not half full.
(14) In 9-68/78 days.
(15) The measurements given would not make a triangle.
(16) 6400 soldiers.
(17) [Illustration]
(18) The LEFT BOWER.
(19)
The first £15
" second 8
" third 10
" fourth 6
---
The man had £39
(20) The first boat 15 min. 45 secs., the second 16 min.
(21) 3 animals.
(22) A comma.
(23) 15 and 10.
(24) 21 and 54.
(25) 126.
(26) 72 persons.
(27) 20·7846 inches; 203·646 square inches.
(28)
11 plus 1·1 = 12·1
11 x 1·1 = 12·1
(29) Coach fare 3s.
(30) The distance from the ends of the least side on the
largest and intermediate sides are respectively
211⅓ and 176 links.
(31) 60.
(32) T wins--distance 90 miles; walking pace--T 5 miles per hour, D 4.
(33)
+---+---+---+---+---+---+---+---+---+
| A | B | C | D | E | F | G | H | I |
+---+---+---+---+---+---+---+---+---+
My friends,--I have spare blankets, and I shall need no more;
The tenth man can have my bed, and I’ll sleep on the floor.
In room marked A two men were placed; the third was lodged in B;
The fourth to C was then assigned, the fifth retired to D;
In E the sixth he tucked away, in F the seventh man,
The eighth and ninth in G and H, and then to A he ran
(Wherein the host, as I have said, had laid two travellers by);
Then taking one--the tenth and last--he lodged him safe in I:
Nine spare rooms--a room for each--were made to serve for ten.
And this it is that puzzles me and many wiser men.
(34) £78 7s. 0·42d.
(35) 275625 leaves.
(36) [Illustration: _Fig 1_]
(37) 24000 men.
(38) 4032 lines.
(39) 28·9 miles.
(40) £26 7s. 7d.
(41) 7 and 1.
(42)
+----------------------------+
| 47 58 69 80 1 12 23 34 45 |
| 57 68 79 9 11 22 33 44 46 |
| 67 78 8 10 21 32 43 54 56 |
| 77 7 18 20 31 42 53 55 66 |
| 6 17 19 30 41 52 63 65 76 |
| 16 27 29 40 51 62 64 75 5 |
| 26 28 39 50 61 72 74 4 15 |
| 36 38 49 60 71 73 3 14 25 |
| 37 48 59 70 81 2 13 24 35 |
+----------------------------+
(43)
8 3 4
1 5 9
6 7 2
(44) Don’t be A flat be A sharp.
(45) £49.
(46)
+-----------+
| 3 3 3 |
| |
| 3 3 |
| |
| 3 3 3 |
+-----------+
+-----------+
| 4 1 4 |
| |
| 1 1 |
| |
| 4 1 4 |
+-----------+
(47) Give the last person an egg on the dish.
(48) 20 lbs.
(49) 1 wether, 10 ewes, 9 lambs.
(50) 15 hours.
(51) 12 square miles.
(52) 7 persons.
(53) The versed sine of the segment of Will’s cake which
was given to Jack was 3·05 inches, and its area
26·0058364375 square inches: hence Will’s share
was 704·6125135625 square inches, and Jack’s share
704·5914364375 square inches; so that Will’s four
were about 52·03275 square inches more than Jack’s
six, and Will, of course, lost the wager. After the
decision of the gauger, Will’s share was ·0210771245
(1-50th nearly) of a square inch more than Jack’s.
(54) 8·46851 seconds velocity, 129·38 ft. per second.
(55) 144 minutes.
(56)
39
12
-----
78
39
-----
468
(57) 8835 yds.
(58) 2513·28 sq. yds nearly.
(59) A 13 times, B 8.
(60) Her son.
(61) 3 wickets.
(62) Not fully stated--suppose 4 miles per hour.
(63) 22 plus 2 eq. 24; 3^3-3 eq. 24.
(64) 1s. 11d. or 11s. 1d.
(65) TOBACCO.
(66) 1 ft. 5·6268 inches.
(67) [Illustration]
(68) Age 28.
(69) 8/9
(70) [Illustration: 1 2 3 4 5 6 7 8 9 10]