The Puzzle King / Amusing arithmetic, book-keeping blunders, commercial comicalities, curious "catches", peculiar problems, perplexing paradoxes, quaint questions, queer quibbles, school stories, interesting items, tricks with figures, cards, draughts, dice, dominoes, etc., etc., etc.

by John Scott

Even,	£6 against £6—	£12
2 to 1,	£8 against £4—	£12
3 to 1,	£9 against £3—	£12
£13		Received.

	SIX	IX	XL
	IX	X	L
	——————
	S	I	X

Table		Full.	Half-full.	Empty.
1	|	2	3	2
2	|	2	3	2
3	|	3	1	3
1	|	3	1	3
2	|	3	1	3
3	|	1	5	1

Jack,	10 yrs.	Tom	FIVE	Tom	Five
James,	9 "	Bob	Six	Bob	Six
Fred,	8 "	Jack	Ten	Fred	Eight
Bob,	6 "	Baby	One	Jack	Ten
Tom,	5 "	James	Nine	Baby	One
Baby,	1 "	Fred	Eight	James	Nine

17 )	33	( 196078431372549
	17

To prove it:—	196078431372549
	17
Proof—	3333333333333333

• [(257)]
  
• 28 eggs. Method:
• 1½ hens lay
• 1½ eggs in
• 1½ days
• 1½  " "
• 3  " "
• 3  "
• 3  " "
• 6  " "
• 3  "
• 3  " "
• 2  " "
• 1  "
• 6  " "
• 4  " "
• 1  "
• 6  " "
• 28  " "
• 7  "
• [(258)] Tom, 4s. 6d. per day; Bill, 3s.
• [(259)] 1000.
• [(260)] 1 inch remainder.
• [(261)]
  
• [(262)] 393,213 shillings.
• [(263)] ²⁄₉.
• [(264)] 9½.
• [(265)] 4 seconds.
• [(266)] Loses £50.
• [(267)] He will never enter the water, because the frog’s jump, at any time, is only half-way to the water.
• [(268)]
  
• [(269)] 1⅔ minutes.
• [(270)] 49 years.
• [(271)] 3 minutes.
• [(272)]
  
• Let A be starting point of Orderly; B be starting point of General; C be point at which Orderly returns to his place, the rear having marched 50 miles to this point; D be point at which Orderly delivers his despatches; E be destination of front rank or General of Army.
• Let x eq. number of miles between C and D.
• Then AD eq. (50 plus x) miles; BD eq. (25 plus x) miles; DE eq. (25 minus x) miles; and AD plus DC eq. (50 plus 2x) miles, and is the total distance the Orderly travels.
• Now Orderly rides from A to D, while General marches from B to D, and Orderly returns from D to C, while General marches from D to E, and Orderly and Army travel at a uniform rate.
• ∴ AD : BD :: DC : DE
  or 50 plus x : 25 plus x :: x : 25 - x
  ∴ 1250 - 25x - x² eq. 25x plus x²
  Whence x eq. 15.45 plus.
  ∴ Orderly rides 50 plus 30.9 plus
  eq. 80.9 plus
  eq. 80 miles 1587 yards nearly.
• [(273)] 400 lbs.
• [(274)] Gentleman 30, boy 15.
• [(275)] Ride, 44 miles; area, 77,440 acres.
• [(276)] Translation: The foundation stone of this building was laid in 1880 by Sir Charles Lilley, for many years Chief Justice, and formerly a distinguished member of the Government of this colony. He was prominent amongst those who worked for the first establishment of this school, and afterwards, by his generous gifts and by his wise counsel as a trustee, contributed greatly to its advancement. The trustees have, therefore, erected this tablet to perpetuate his memory here. A.D. 1898.
• [(277)] The agent owes the firm £7 19s.

28 eggs. Method:	1½ hens lay	1½ eggs in	1½ days
	1½  " "	3  " "	3  "
	3  " "	6  " "	3  "
	3  " "	2  " "	1  "
	6  " "	4  " "	1  "
	6  " "	28  " "	7  "

DIDDAMS PRINTER, BRISBANE.

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