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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. "
Algebraical Problems, Producing Simple and Quadratic Equations, with Their ... - Σελίδα 141
των Miles Bland - 1824 - 383 σελίδες
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 σελίδες
...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 five"...than the 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+...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 σελίδες
...The sum of which = 6x — no = зх + ш by supposition. /. by transposition, зл? = 120, and x = 40. /. they received 40, 30, 26, 15, 12, 7 pence respectively....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 —...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 σελίδες
...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...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 σελίδες
...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...

An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - 1826 - 430 σελίδες
...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,...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 σελίδες
...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 five such...less than the 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 —...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1831 - 358 σελίδες
...What 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...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...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1832 - 360 σελίδες
...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 five such...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....

An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan, Robert Adrain - 1835 - 388 σελίδες
...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...

A New Introduction to the Science of Algebra ...

Silas Totten - 1836 - 320 σελίδες
...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...less than the 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...




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