[122.] There are 3 numbers in continued proportion—the middle number is 60, and the sum of the others is 125. Find the numbers.
[123.] A lends B a certain sum at the same time he insures B’s life for £737 12s. 6d., paying annual premiums of £20; at the end of three years and just before the fourth premium is to be paid, B dies, having never repaid anything. What sum must A have lent B in order that he may have just enough to recoup himself, together with 5 per cent. compound interest on the sum lent and on the premiums?
[124.] I met three Dutchmen—Hendrick, Claas, and Cornelius—with their wives—Gertruig, Catrün, and Anna; in answer to a question they told me they had been to market to buy pigs, and had spent between them £224 11s; Hendrick bought 23 pigs more than Catrün, and Class bought 11 more than Gertruig, each man laid out 3 guineas more than his wife. Now find out each couple—man and wife.
CURIOUS BOOK-KEEPING.
An old tradesman used to keep his accounts in a singular manner. He hung up two boots—one on each side of the chimney; into one of these he put all the money he received, and into the other all the receipts and vouchers for the money he paid. At the end of the year, or whenever he wanted to make up his accounts, he emptied the boots, and by counting their several and respective contents he was enabled to make a balance, perhaps with as much regularity and as little trouble as any book-keeper in the country.