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Page 91 - A vintner sold 7 dozen of sherry and 12 dozen of claret for 50/., and finds that he has sold 3 dozen more of sherry for 10/. than he has of claret for 6/. Required the price of each.
Page 28 - I. 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 28 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 28 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 69 - There is a certain number, consisting of two places of figures, which is equal to four times the sum of its digits ; and if 18 be added to it, the digits will be inverted; what is the number? Ans. 24.
Page 73 - ... 7. A person walking along the road in a fog meets one waggon and overtakes another which is travelling at the same rate as the former. and he observes that between the time of his first seeing and passing the waggons, he walks 20 yds. and 60 yds.
Page 43 - ... start at the same time, from the same place, and travel in opposite directions, what will represent their distance apart at the end of 1 day ? of 2, 3, 4, 5 days ? ART.
Page 44 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Page 34 - Any term may be transposed from one side of an equation to the other by changing its sign.
Page 3 - Quantities having the same sign are said to have like signs ; those having different signs are said to have unlike signs.