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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. "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Page 81
by Jeremiah Day - 1842 - 332 pages
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 438 pages
...transposition, зл? = 120, and x = 40. /. they received 40, 30, 26, 15, 12, 7 pence respectively. 14. It is required to divide the number 99 into five such...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 - 383 pages
...transposition, 3т=120, and т = 40. .'. they received 40, 30, 26, 15, 12, 7 pence respectively. 14. It is required to divide the number 99 into five such...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 - Algebra - 1824 - 516 pages
...the youngest received. How much had each ? Ans. 21, 30, 42, and 60 shillings respectively. Prob. 4D. It is required to divide the number 99 into five such...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 - 516 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 - 383 pages
...the youngest received. How much had each ? Ans. 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 - 332 pages
...paid as much as A and B; and D paid as much as C and B. What did each pay? Ans. 317,951,1268,2219. Prob. 32. It is required to divide the number 99 into...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+ 16=99. And x=l7. Prob. 33. A father...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - Algebra - 1835 - 361 pages
...the youngest received. How much had each 1 Ans. 21, 30, 42, and 60 shillings respectively. PROB. 49. It is required to divide the number 99 into five such...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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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 304 pages
...reducing, Юж = 60, and = 6. Wherefore he gave 6, 12, 18, and 24 pence to them respectively. 4. It is required to divide the number 99 into five such...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 being 99, we...
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A New Introduction to the Science of Algebra...

Algebra - 1836 - 304 pages
...five shillings, or sixty pence ; therefore, x + 2x + 3x + ix = 60; reducing, 10* = 60, and sc = 6. 4. It is required to divide the number 99 into five such...greater than the fourth by 9, and less than the fifth by 1 6. Let x = the first part ; then x - — 3 = the second, x + 10 = the third, x — 9 = the fourth,...
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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 304 pages
...gave 6, 12, 18, and 24 pence to them respectively. 4. It is required to divide the number 99 into fwe such parts, that the first may exceed the second by...greater than the fourth by 9, and less than the fifth by 1 6. Let x = the first part ; then x — 3 = the second, x + 10 = the third, x — 9 = the fourth,...
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