...30 = c; then ax-\-c=.bx; whence, x = b—a' from which we might deduce particular solutions. 6. If A can do a piece of .work in a days, and B in b days; in how many days will they do the work, if they both work at it together? Let x be the number of days. Then, in one...

...of A's ; also when B's is half, and C's the third part of A's. Ans. Чх and 3#; - and - . 13. If A can do a piece of work in a days, and B in b days, find the part done by each in x days. Ans. - and -.. 14. Express the two numbers whose digits are x...

...money, found he had 80 shillings ; what sum did he begin with? Ans. 52 shillings. 18. A can perform a piece of work in a days, and B in b days ; in how many days can they finish it, if they both work at it together? ab Ans. — —т days. a + b J 19. A trader maintained...

...Find a number which being divided by 3 and by 7, the difference of the quotients is 16. CASE III. 1. A can do a piece of work in a days, and B in b days ; in what time can they both do it? Let a; = the number of days in which both can do it. 1 X ab Then, +=....

...translated into a principle or a rule for the solution of an entire class of examples. Illustration. — A can do a piece of work in a days, and B in Ъ days. In what time can they do it working together ? Solution : Let x = the required time. Then,...

...26. If a man can do a piece of work in - days, what part of У the work can he do in one clay ? 27. A can do a piece of work in a days, and B in 6 days. What part of the work can they do together in one day ? How long will it take them to do the...

...Divide the number a into two such parts that n times the first part shall equal m times the second part. 2. A can do a piece of work in a days, and В in 6 days ; how long will it take them to perform it, working together? 3. The sum of two numbers...

...and 12 years after marriage her age was f of her husband's age. How old was each at marriage ? 14. A can do a piece of work in a days, and B in b days. In how many days can both together do it ? Let x = number of days. Then - = part both can do in one day ; x - = part A can...

...What is the share of each ? What is the share of each, if a = 40,000, m = 5, and n = 3 ? 100. If A can do a piece of work in a days, and B in 6 days, in what time can both do it working together ? Give the result, if а = 10 and b = 15. 101....

...returns at the rate of 3 miles an hour. How far down stream can he go and return in 9 hours? 6. (a) A can do a piece of work in a days, and B in 6 days. In what time can they do the work working together? If a = 10 and 6 = 15, what would be the...