...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 — -...

...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...

...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...

...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...

...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 f 1 Ans. £. 9. A wine merchant has two kinds of wine. If he mix 3 gallons of the worst with 5 of the...

...by a guinea, we have therefore by the question 19,6 4,5 17 r - = 1, and - -4- - = --. x ' yx ' y 63 Multiplying the first equation by 5 and the second...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, the eighth...

...by a guinea, we have therefore by the question • f- - = 1, and - ~j- - = SQ19 6 ,4,5 17 xyx ' y 63 Multiplying the first equation by 5 and the second...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...

...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...

...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....

...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...