 | Samuel Alsop - 1848 - 336 pagine
...if each be increased by 30, the results are as 9 : 8. What are the numbers ? Ans. 25 and 20. Ex. 27. What fraction is that to the numerator of which, if 1 be added, the fraction will equal i, but if 4 be added to the denominator, the fraction becomes £ ? Ans. -¡-¿.... | |
 | Horatio Nelson Robinson - 1850 - 256 pagine
...Multiplying (2) by 15, . 3y— 2y=60, or y=60 This value of y put in (A), gives -+12=30, or z=72. 4. What fraction is that, to the numerator of which, if 1 be added, its value will £, but if 1 be added to the denominator, its value will be J ? Let x= the numerator,... | |
 | William Smyth - 1851 - 272 pagine
...+ 1 __ 4 x _ 3 y — 7' y _j- i — §' equations which correspond to the question, modified thus : What fraction is that, to the numerator of which if 1 be added, the value of the fraction will be f ; but if 1 be added to the denominator, the value will be f . From what has... | |
 | Charles Davies - 1851 - 300 pagine
...Given -|--f 7y=99, and -|-+7x=51, to find the values of x and y. An*. x=7, y=14. 4. GivenQUESTIONS. 1. What fraction is that, to the numerator of which, if 1 be added, its value will be — , but if one be added to its 3 denominator, its value will be — ? 4 Let the... | |
 | John Bonnycastle - 1851 - 288 pagine
...126 4- 2a> = 3a?, 2 Consequently, 3x — 2cc = 126, or "a? = 126, the number of gallons required. 7. What fraction is that, to the numerator of which if 1 be added, its value will be - but if 1 be added to the denomio nator, its value will be -. Let the fraction required... | |
 | Thomas Sherwin - 1855 - 262 pagine
...flour weigh 1700 lbs. Required the weight of a box of raisins, also that of a barrel of flour. 12. What fraction is that, to the numerator of which if 1 be added, the value of the fraction will be §, but if 3 be subtracted from the denominator, the value of the fraction... | |
 | Samuel Alsop - 1856 - 152 pagine
...considerable difficulties, which are frequently entirely removed by making another assumption. Ex. 1. What fraction is that, to the numerator of which if 1 be added, the value shall be | ; but if 1 be added to the denominator, the value shall be ¿. X Here let - represent the... | |
 | Charles Davies - 1856 - 224 pagine
...= 1840, 20ж + 16y = 3640 ; combining and eliminating x, I3y = 1950 : .'. y = 150, and x = 62. 20. What fraction is that to the numerator of which if 1 be added the result will be 1, but if 1 be added to the denominator the result will be \ 1 Let x denote the numerator,... | |
 | William Smyth - 1856 - 264 pagine
...modified thus : What fraction is that, to the numerator of which if 1 be added, the value of the fraction will be ^ ; but if 1 be added to the denominator, the value will be £ ? From what has been done, we see that a negative result indicates some absurdity in the... | |
 | James William Dodd - 1859 - 188 pagine
...shall have the Equations x+y=WO; and 20-e +30y=2450; which will give x=55, and ?/=45 acres. 17. Wrhat fraction is that to the numerator of which if 1 be added, the value will be 1 ; but if 1 be added to the denominator, the value of the fraction will be ^ ? Let - represent the... | |
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What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction. 
