 | John Bonnycastle - 1782 - 272 pages
...«Г 12б+2*1=Здг hence 3x — 2*= 126 or *гг120= number of gallons required. 9. What fraftion is that, to the numerator of which if 1 be added, the value will be|; bat if t be added to the denominator, its value will be £ ? Let the fratticn be reprefentcd... | |
 | John Bonnycastle - Algebra - 1806 - 234 pages
...3 2 That is 63+x=2f, Or l26+2*=3.r, Hence $x — 2x=126 Or ar=126= number of gallans required. ' 8. What fraction is that to the numerator of which, if 1 be added, the value will be f ; but if 1 be added to the denominator, its value will be J ? Let tbefraSion be represented... | |
 | Nicolas Pike - Algebra - 1808 - 470 pages
...question, that is, 63+r = — 3- 32 2 •r 12fvf2r= 3r, hence 3r— 2r= 126, or r = 126, Answer. 8. What fraction is that, to the numerator of which if 1 be added, the value will be -j ; but if 1 be added to the denominator, its value will be J ? r r+1 r Let the fraclion be... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...By mult. by 4, it becomes x'- $x = 40 ; By mult. by 5, it gives x = 200, the number sought. QUEST. 5. 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.... | |
 | John Bonnycastle - Algebra - 1811 - 230 pages
...3 = iy That is, 63+*=—, Or Hence , Or x= 1 26= number of gallons required. •F f.KWiat/r^tion ls that- to the numerator of which if 1 be added, the value will be ' - hut if IK jji ' the denominator, its value will L 4?^ be added l° 4 " Let the fraction... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...no nlt, by 4, it becomes x — *x = 40 ; By mull, by 5, it gives .r = 200, the number sought. QUEST. 5. What fraction is that, to the numerator of which if 1 be added, the value will be .'. ; but if 1 be addec! to the denominator, its value will be | ? x Let — denote the fraction.... | |
 | Charles Hutton - Arithmetic - 1818 - 646 pages
...mult, by 4, it becomes x — ±x = 40 ; By mult, by 6 it gives x = 200, the nutnber sought. QUEST. 6. What fraction is that to the numerator of which if 1 be added, the value will be J ; but if one be added to the denominator, its value will be -J ? x Let — denote the fraction.... | |
 | John Bonnycastle - Algebra - 1818 - 284 pages
...63+z= —x, or 126 + 2z=3z, Consequently 3x — 2z=126, or z=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 •3 denominator, its value will be — Let the fraction... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...than B, and C. 1001. more than A. Ans. 252l. B.'s share ; 3241. A.'s share ; and 4241. C.'s share. 5. What fraction is that to the numerator, of which, if 1 be added, the value will be one-third ; but if 1 be added to the denominator, its value will be one-fourth ? Ans. ¡s the... | |
 | John Bonnycastle - Algebra - 1825 - 336 pages
...63+a;=|r, or 126-f 2x=3r, Consequently 3x— 201=126, or rr=l26, 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 de.3 * nominator, its value will be -. 4 Let the fraction... | |
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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. 
