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" It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. "
Elements of Algebra - Page 174
1838 - 355 pages
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 230 pages
...from 10, and multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3. 11. To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 12. It is required to divide the number 24 into two such parts, that their product may be equal to...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...of which the first is to the third as 5 to 9, and the sum of all three is 63. Ans. 1 <, 21, 27. 22. It is required to divide the number 24 into two such parts, that the quotient of the greater part divided by the less, may be to the quotient of the less part divided...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...progression, of which the first is to the third as 5 to 9,and the sum of all three is 63? Ans. 15, 21,27. 22. It is required to divide the number 24 into two such parts, that the quotient of the greater part divided by the less, may be to the quotient of the less part divided...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...lew ; v by theprob.x1 4 -- =ic,'.-i=^/ -- ,bx <2x = 12, and— =—=8. a 3 28. Divide the number 25 into two such parts, that the sum of their square roots may be 7. Let o=25, fc=7. x=one part, then a—x=the other, v by theprob. ^x+ ^/a—x=b; square both sides,...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 326 pages
...10, aijd then multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3. 3. It is required to divide the number 24 into two such parts, that their product shall be equal to 35 times their difference. Ans. 10 and 14 4. It is required to divide a line, of...
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An Elementary Treatise on Algebra

Bewick Bridge - Algebra - 1818 - 254 pages
...18 x (x-yY = 7'2, or (xy)*=4 ; .:xy = 2. Again, x1— and 4xy =96. _12_ .. r~~ > but xy =2; Ex. 6. To divide the number 24 into two such parts, that their product shall, be to thesÓora of their squares : : 3': 10. ANSWER, 18 and 6. Ex. 7. There are two numbers...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 1818 - 646 pages
...which the first is to the third as 5 to 9, and the sum of all three is 63 ? Ans. 15, 21, 27. 22. lt is required to divide the number 24 into two such parts, that the quotient of the greater part divided by the less, may be to the quotient of the less part divided...
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - Algebra - 1821 - 380 pages
...of two numbers being given ; to find the numbers. Ans. a — V6 — a2 and 141. To divide the number 100 into two such parts, that the sum of their square roots may be 14. Jlns. 64 and 36. 142. To find three such numbers, that the sum of the first and second multiplied into...
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A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - Algebra - 1821 - 426 pages
...y== 1,and y = 4 + \/ | ; consequently o; (1+J/) =! + \/£• PROBLEM LI. To divide the number 100 (a} into two such parts, that the sum of their square roots may be 14 (bJ * Let the greater part be x, and the lesser will be a — x ; therefore, ly the problem, \/ x +...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 284 pages
...THEOR. 1, 18 x(x— j/)'=72, Again, x*—2xу+у'=4, and 4xy =96. or ж+^=ю,| but x— y=2 ; Ex. 6. To divide the number 24 into two such parts, that their product shall be to the sum of their squares : : 3 : 10. : ANSWER, 18 and 6. Ex. 7. There are two numbers which...
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