 | 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... | |
 | Samuel Webber - Mathematics - 1808 - 466 pages
...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 3*+3= y, And 4x=t/+l,... | |
 | 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... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...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. x -\- 1 y Then by the quest. =|, and = r. yy ~\~ ii The 1st mult.... | |
 | 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... | |
 | John Bonnycastle - Algebra - 1813 - 456 pages
...= 126, the number of gallons required. 7. What fraction is that, to the numerator of which if 1 he added, its value will be -, but if 1 be added to the denominator, its value will be -. Let the fraction be represented by -, Then -i— =-, and — г = 7, by the question, у 3' y+l... | |
 | 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...added, its value will be —, but if 1 be added to the •3 denominator, its value will be — Let the fraction required be represented by —, x-\-l 1 x... | |
 | John Bonnycastle - Algebra - 1818 - 326 pages
...That is 63+x= ^x, or 126+2z=3z, ; Consequently 3z-2x=126, or 1=126, the number of gallons required. 7. What fraction is that, to the numerator of which if 1 be added, its value will be i, but if 1 be. added to the o denominator, its value will be 4 x Let the fraction required be represented... | |
 | 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...added its value will be -, but if 1 be added to the de.3 * nominator, its value will be -. 4 Let the fraction required be represented -, " Then - ==-,... | |
 | Warren Colburn - Algebra - 1825 - 400 pages
...and how much is each to receive ? Jlns. There are 9 persons, and they receive 300 dollars each. 11. What fraction is that, to the numerator of which if 1 be added, its value will be -J, but if 1 be added to its denominator its value will be i. Ans, -fT. 12. What fraction is that,... | |
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What fraction is that, to the numerator of which if 1 be added, its value will be |, but if 1 be added to its denominator its value will be i. 
