Grammar School Algebra

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Silver, 1900 - 253 pages
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Page 116 - At what times between 4 and 5 o'clock are the hands of a clock at right angles?
Page 166 - Multiplication, in Algebra, is the process of taking one quantity as many times as there are units in another.
Page 169 - The square of the sum of two quantities is equal to the SQuare of the first, plus twice the product of the first by the second, plus the square of the second.
Page 248 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.
Page 169 - ... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.
Page 117 - A can do a piece of work in 8 days, and B can do it in 10 days ; in what time can they do it working together ? Ans.
Page 248 - If four quantities are in proportion, they are in proportion by Inversion; that is, the second term is to the first as the fourth term is to the third.
Page 250 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 142 - How much did he invest at 5 per cent ? 37. Eight years ago a man was three times as old as his son, and five years hence four times the son's age will equal twice the father's age. Find the age of each. 38. A certain number exceeds five times the sum of its two digits by twenty ; and if the number be divided by the left-hand digit, the quotient will be ten and the remainder five. Find the number.
Page 146 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...

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