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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. "
Algebra for High Schools and Colleges: Containing a Systematic Exposition ... - Page 79
by James B. Dodd - 1859 - 306 pages
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An Introduction to Algebra: With Notes and Observations: ... By John ...

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 by —,...
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An Introduction to Algebra: With Notes and Observations; Designed for the ...

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 by —...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

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 represented...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...126, Or x = 126 = number of gallons required. 8. What fraction is that, to the numerator of which if H be added, the value will be | ; but if 1 be added to the denominator, its value will be | ? Let the fraction be represented by — , V Then will ££L=fc 9 . And ~=J, Or...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...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...be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction. x -\- 1 y Then by the quest. =|, and = r. yy ~\~...
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

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 be represented...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...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. y x + 1 x Then by the...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

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. y...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...— f:r=40 ; By mult, by 5, it gives x=200, the number sought. QUEST. 5. What fraction is that to fyc numerator of which if 1 be added, the value will be '. ; but if one be added to the denominator, its value will be I ' X Let -denote the fraction. y .' T 1 X Then...
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