A Collection of Algebraic Problems, Designed for Drill and Review in Connection with Any Systematic Treatise on Algebra ...

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Ivison, Blakeman, Taylor & Company, 1874 - 184 páginas
 

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Página 135 - A certain number consists of three digits, which are in arithmetical progression ; if the number be divided by the sum of its digits the quotient will be 26, and if 198 be added to the number its digits will be inverted.
Página 127 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Página 37 - A person engaged to work a days on these conditions : for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit с cents. At the end of a days he received d cents. How many days was he idle ? 76.
Página 48 - Two persons, A and B, can perform a piece of work in 16 days. They work together for four days, when A being called off, B is left to finish it, which he does in 36 days. In what time would each do it separately?
Página 49 - Find three numbers, such that the first with \ the sum of the second and third shall be 120 ; the second with...
Página 101 - A man starts from the foot of a mountain to walk to its summit. His rate of walking during the second half of the distance is £ mile per hour less than his rate during the first half, and he reaches the summit in 5^- hours.
Página 120 - If a certain number be divided by the product of its two digits, the quotient will be 2 ; and if 27 be added to the number, the digits will be inverted. What is the number? Ans. 36.
Página 37 - The distance from A to D is 34 miles. The distance from A to B is to the distance from C to D as 2 to 3. And ^ of the distance from A to B, added to...
Página 36 - Divide 48 into two such parts, that if the less be divided by 4, and the greater by 6, the sum of the quotients will be 9. Ans. 12 and 36. 11. An estate is to be divided among 4 children, in the following manner : The first is to have $200 more than 1 of the whole.
Página 39 - A sets out from a certain place, and travels at the rate of 7 miles in 5 hours ; and 8 hours afterward .B Bets out from the same place in pursuit, at the rate of 5 miles in 3 hours.

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