An Algebra Upon the Inductive Method of Instruction

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Morton & Griswold, 1840 - 288 sider
 

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Side 284 - It is required to find three numbers such that the product of the first and second...
Side 56 - What fraction is that, to the numerator of which if 1 be added, the fraction will be j : but if 1 be added to the denominator, the fraction will be £ 1 Ans.
Side 284 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Side 16 - A man when he was married, was three times as old as his wife, but after they had lived together 15 years, he was only twice as old. How old was each at the time of marriage ? Ans.
Side 220 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Side 157 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Side 108 - The fourth term contains the unknown quantity raised to a power less by 3 than that of the first term, with a coefficient equal to the sum of all the products which can be made by multiplying any three of the roots with contrary signs.
Side 219 - It is required to divide the nnmber 10 into three such parts, that if the first be multiplied by 2, the second by 3, and the third by 4, the three products shall be all equal. Ans.
Side 35 - Ans. $60. 8. What number is that from which if 5 be subtracted, f of the remainder will be 40 ? Ans. 65. 9. A man sold a horse and a chaise for $200, and £ of the price of the horse was equal to J of the price of the chaise.
Side 284 - ... be put on the back of the third, it will make his value triple that of the first and second: what is the value of each horse ? Ans.

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