1860 4 ---- 1864 38 Age ---- 1902 1000 -------- 1902000 687423 -------------- 1,2,1,4,5,7,7 a,b,a,d,e,g,g (“A bad egg.”) 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. QUICKER THAN THOUGHT. A little boy, hearing someone remark that nothing was quicker than thought, said: “I know something that is quicker than thought.” “What is it, Johnny?” asked his pa. “Whistling,” said Johnny. “When I was in school yesterday I whistled before I thought, and got caned for it, too.” 125. The number of men in both fronts of two columns of troops A and B, when each consisted of as many ranks as it had men in front, was 84; but when the columns changed ground, and A was drawn up with the front B had, and B with the front A had; the number of ranks in both columns was 91. Required: the number of men in each column. RUNNING THROUGH HIS FORTUNE. 126. A man inheriting money spends on the first day 19s., twice that amount on the next, and 19s. additional every day till he exhausts his fortune by spending on the last day £190 by way of having a real good time of it and treating his friends to a good “blow out.” What amount of money had he left to him at the start? 127. A shopkeeper makes on a certain article the first day a profit of 3d., the second day 4·2d., and so on, profit increasing each day by 1·2d. He had a profit of 14s. 3d. on the whole. How many days was he selling the article? “AWFUL SACRIFICE.”