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" What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans. "
A New Introduction to the Science of Algebra ... - Σελίδα 187
των Silas Totten - 1836 - 304 σελίδες
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Key to Dodd's Algebra: Containing All the Problems, and the More Difficult ...

James William Dodd - 1859 - 188 σελίδες
...of the second year. Then, by the problem, the Equation will be 5x— 160 _ 2z + 80 — ^8x— g25. What fraction is that, whose numerator being doubled,...denominator being doubled, and the numerator increased bv 2, the value becomes j ? Let — represent the fraction ; then the Equations will be 2x 2 — -...

The Mathematical Monthly, Τόμος 2

John Daniel Runkle - 1860 - 460 σελίδες
...conclude with the utmost certainty that T^ is the fraction fulfilling the conditions of the question. 2. What fraction is that, whose numerator being doubled,...the numerator increased by 2, the value becomes f ? Reasoning as in the preceding example, we must first take the successive multiples of f ; divide...

The Mathematical Monthly, Τόμος 2

1860 - 462 σελίδες
...conclude with the utmost certainty that -^ is the fraction fulfilling the conditions of the question. 2. What fraction is that, whose numerator being doubled,...and denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes | ? Reasoning...

The Mathematical Monthly, Τόμος 2

John Daniel Runkle - 1860 - 590 σελίδες
...conclude with the utmost certainty that T^ is the fraction fulfilling the conditions of the question. 2. What fraction is that, whose numerator being doubled,...and denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes | ? Reasoning...

A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - 1861 - 496 σελίδες
...second by 6, subtracting the second from the first and reducing, we obtain x =21, whence y = 63. 3. What fraction is that, whose numerator being doubled,...the numerator increased by 2, the value becomes f ? Ans. f. 4. A owes $1200, B $2500; but neither has enough to pay his debts. Lend me, said A to B,...

A Treatise on Algebra ...

William Smyth - 1861 - 352 σελίδες
...second by 6, subtracting the second from the first and reducing, we obtain x = 21, whence y = 63. 3. What fraction is that, whose numerator being doubled,...being doubled, and the numerator increased by 2, the vulue becomes f ? i Ans,. £. 4. A owes $1200, B $2500; but neither has enough to pay his debts. Lend...

A Theoretical and Practical Treatise on Algebra: In which the Excellencies ...

Horatio Nelson Robinson - 1861 - 372 σελίδες
...he does in 36 days. In what time would each do it separately ? Ans. A in 24 days ; B in 48 days. 1O What fraction is that, whose numerator being doubled,...being doubled, and the numerator increased by 2, the iilue becomes |? Ans. f. 11. Two men wishing to purchase a house together, valued at 240 (a) dollars...

Problems and Examples

Harvey Goodwin - 1862 - 174 σελίδες
...back, and he had then twice as much as A. What had each at first? Ans. A had 14 and B 19 shillings. 17. What fraction is that, whose numerator being doubled,...and denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes |. Ans....

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1863 - 432 σελίδες
...does in 36 days. In what time would each do it separately ? -4ns. A, in 24 days ; B, in 48 days. Í1. What fraction is that, whose numerator being doubled,...and the numerator increased by 2, the value becomes | ? Ans. |. 12. Two men were wishing to purchase a house together, valued at 240 dollars. Says A to...

An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - 1864 - 298 σελίδες
...as the first. What is the value of each horse t Ans. The first $30, the second $70. 8. What frnction is that, whose numerator being doubled, and denominator...and' the numerator increased by 2, the value becomes £ ? Ans. f . 9. A wine merchant has two kinds of wine. If he mix 3 gallons of the worst with 5 of...




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