# An introduction to algebra, and to the solution of numerical equations

1851 - 12 pages

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### Contents

 CHAPTER 13 CHAPTER II 58 CHAPTER IV 97 SIMULTANEOUS SIMPLE EQUATIONS 129 CHAPTER VI 145
 CHAPTER VII 167 CHAPTER VIII 185 CHAPTER IX 198 CHAPTER X 221 CHAPTER XI 234

### Popular passages

Page 69 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 144 - If the number be divided by the sum of the digits, the quotient will be 26; but, if 198 be added to it, the digits will be inverted.
Page 144 - To divide the number 90 into four such 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, difference, product, and quotient so obtained, will be all equal to each other.
Page 182 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.
Page 141 - If A and в together can perform a piece of work in 8 days, A and с together in 9 days, and в and с in 10 days, how many days will it take each person to perform the same work alone.
Page 142 - What fraction is that, to the numerator of which, if 4 be added, the value is 1, but if 7 be added to its denominator, its value will be | ? Ans.
Page 130 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 180 - A farmer bought some sheep for £72, and found that if he had received 6 more for the same money, he would have paid £1 less for each. How many sheep did he buy ?
Page 142 - ... 6. There is a number consisting of two digits, which is equal to four times the sum of those digits; and if 18 be added to it, the digits will be inverted. What is the number?
Page 126 - Two workmen A and B were engaged to work for a certain number of days at different rates. At the end of the time, A who had played 4 of those days had 75 shillings to receive ; but B who had played 7 of those days received only 48 shillings.