3J4 ^LGESRA. 



and then won 2 shillbigs j lastly, he Iqst ~ of what he 

 then had, and, this done, found he had but 12s. remain-, 

 in^ ; what liad Jie at first ? Aiis. 20s. 



21. To divide the number 90 into 4 r>uch parts, that if 

 the first be increased by 2, the second diminished by 2, 

 the third multiplied by 2, and the fourth divided by 2, 

 the sum, diiFerence, product, and .quotient, shall' be all 

 equal to each other. 



Ans. The parts are 18, 22, 10, and 40, respecllvely. 



22. The hour anld minute hands of a clock are exactly- 

 together at 12 o'clock J when ^re they next together ? 



Ans. I hour, ^yV niin. 



23. There is an island 73 miles; in cireumferenee, and 

 3 footmen all start together to travel the same way about 

 it j A goes 5 miles, a. day, B 8, and C lo ; when will, they 

 all come together again ? Ans. 7 3. days. 



24. If A can do a piece of work alone in 10 days, and 

 A and B together in 7 days, in what time c;in B do it alone } 



Ans. 23ydays. 



25. If three agents, A, B and C, can produce the ef- 

 fects £j, b, c^ in the times e^f, g^ respectively ; in what time 

 would they jointly produce the eiFect d ? 



Ans. ■~^,--, — tnne. 



26. If A and B together can perform a piece of work 

 in 8 days, A and C together in 9 days, and B and C in 

 10 days j how many days will it take each person to per- 

 form the same work alone ? 



Ans. A i4j-J-days, B i7|-f, and C 23/^. 



QUADRATIC EQTJATIONS; 



A SIMPLE, QUAD . ' "at, which involves 



the square of the unknown quantity only. 



An 



