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" It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16. Let x= the first part. "
Elementary Algebra: For the Use of Schools - Page 15
by William Smyth - 1851 - 236 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...did each pay ? Ans. 317, 951, 1268, 2219. Prob. 32. It is required to divide the number 99 into five" such parts, that the .first may exceed the second...fifth by 16. .' Let x— the first part. Then x— 3= the second, a; — 9= the fourth, x+ 10= the third, x+ 16= the fifth. Therefore x + x-3+x+10+x-9+x+...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...received 40, 30, 26, 15, 12, 7 pence respectively. 14. It is required to divide the number 99 into five such parts, that the first may exceed the second by 3 ; be less than the third by ю ; greater than the fourth by 9 ; and less than the fifth by 16. Let x = the first part, .". x —...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...received 40, 30, 26, 15, 12, 7 pence respectively. 14. It is required to divide the number 99 into five such parts, that the first may exceed the second by...less than the fifth by 16. Let x = the first part, .'. x— 3 = second, т +10= third, x— 9= fourth, x + 16 = fifth. or 5т+14 = 99, .'. by transposition,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...21, 30, 42, and 60 shillings respectively. Prob. 4D. It is required to divide the number 99 into five such parts, that the first may exceed the second by...than the fourth by 9 ; and less than the fifth by 16. Ans. 17, 14,27, 8, and 33. Prob. 50. Two persons began to play with equal sums of money : the first...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...21, 30, 42, and 60 shillings respectively. Prob. 49. It is required to divide the number 99 into fire such parts, that the first may exceed the second by...than the fourth by 9; and less than the fifth by 16. Ans. 17, 14, 27, 8, and 33. Prob. 50. Two persons began to play with equal sums of money : the first...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 430 pages
...21, 30, 42, and 60 shillings respectively. Prob. 49. It is required to divide the number 99 into five such parts, that the first may exceed the second by 3 ; be lest than the third by 10; greater than the fourth by 9 ; and less than the tilth by 16. Ans. 17, 14,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...What did each pay? Ans. 317,951,1268,2219. Prob. 32. It is required to divide the number 99 into five such parts, that the first may exceed the second by...fifth by 16. Let x= the first part. Then x — 3= the seco"nd, x— 9= the fourth, z+ 10= the third, x + 16= the fifth. Therefore x+x — 3+x+10+x-9+x+...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 358 pages
...did each pay 1 Ans. 317, 951, 126& 2219. Prob. 32. It is required to divide the number' Tfe'into five such parts, that the first may exceed the second by...than the fourth by 9, and less than the fifth by 16. Then x - 3 = the second, x - 9 = the fourth, Let x= the first part. . a;4-10= the third, a;+l6= the...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1832 - 360 pages
...did each pay ? Ans. 317, 951, 1268, 2219. Prob. 32. It is required to divide the number 99 into five such parts, that the first may exceed the second by...the fourth by 9, and less than the fifth by 16. Let a;= the first part. Then x - 3= the second, x - 9= the fourth, a;+ 10= the third, a;-f- 16= the fifth....
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...gave 6, 12, 18, and 24 pence to them respectively. 4. It is required to divide the number 99 into five such parts, that the first may exceed the second by...fifth by 16, Let x = the first part ; then x — 3 = the second, x + 10 = the third, x — 9 — -the fourth, ar+16 = the fifth, The sum of all the parts...
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