Part 46

(88)

987654321 = 45 555555555 = 45 123456789 = 45 or 99999 = 45 --------- --------- 864197532 = 45 555455556 = 45

(89)

The 1st part 8 add 2 = 10 " 2nd " 12 subtract 2 = 10 " 3rd " 5 multiply by 2 = 10 " 4th " 20 divide by 2 = 10 ---- 45

(90)

3025. 30 plus 25 = 55 which squared is 3025 9801. 98 plus 01 = 99 which squared is 9801

(91) 3 children.

(92) 36 inches.

(93) The difficulty is to determine what would have been the will of the testator had he foreseen that his wife would be delivered of twins. As he desired that in case his wife brought forth a son he should have ⅔ of his property, and the mother ⅓, it follows that his intention was to give his son a sum double to that of the mother; and as he desired in the other case that if she brought forth a daughter the mother should have ⅔ and the daughter ⅓, there is reason to conclude that he intended the share of the mother to be double that of the daughter; consequently, to unite these two conditions, the heritage must be divided in such a manner that the son may have twice as much as the mother, and the mother twice as much as the daughter. Thus we get--

Son’s share, £4000 Mother’s " £2000 Daughter’s " £1000

Sometimes the following difficulty is proposed in regard to this problem:--In case the mother should have two sons and one daughter, in what manner must the property be divided then? We refer you to the lawyers.

(94) 23 years 289 days--a little less than 24 years.

(95) [Illustration]

(96) 1650 ft. deep; 1½ minutes.

(97) [Illustration]

(98)

Man, 69 yrs 12 weeks Woman, 30 yrs 40 weeks

(99) A 18 hours, B 22½.

(100) 3 and 2.

(101) 12 pence.

(102) 50s.

(103)

It is used so in the question. The answer generally given is found in the Bible (Judges xvi, 7 and 8). Samson was bound with “seven green withs.”

(104)

32 or 46 or 95-72/36 or 14 57 35 1-8/4 76 --- --------- 89 17 100 5 --- 1 98 3 --- 6 2 98 --- 4 100 2 --- --- 100 100

(105)

56 or 20 or 40 24 8 36 --- 80 7 15 1 35 7 9 46 98 3 19 2 --- --- 7 100 100 --- 100

(106) 44 feet.