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" What part of the distance will each have travelled when they meet ? Ans. One 45 miles, and the other 105. 12. Divide the number 60 into two such parts, that their product may be equal to three times the square of the less ? Ans. The parts are 15 and 45.... "
An elementary treatise on algebra, theoretical and practical - Page 66
by John Radford Young - 1844
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...PRACTICE. 1. What two numbers are those, whose sum is 20, and their product 36 ? Ans. 2 and 18. 2. To divide the number 60 into two such parts, that their product may be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40. 3. The differe.nce of two numbers...
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 230 pages
...Alto x + 4 = v/256=16, by evolution; And therefore. x=l6 — 4=12 = /«» number, and 12 + 8=20 2. To divide the number 60 into two such parts that their product may be 864. Let x=greater part, Then will 60 — x=less, And xx(60 — x)=6Qx — ^2=864, by the question;...
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A practical system of algebra, by P. Nicholson and J. Rowbotham

Peter Nicholson - 1824 - 334 pages
...their product is equal to the cube of the less number. What are those numbers ? Ans. 3 and 18. (32.) Divide the number 60 into two such parts, that their product may be to the sum of their squares in the ratio of 2 to 5. (3. 3.) What number is that, whose square exceeds...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...3. To divide the numoer 33 into two such parts that their product ihall be 162. Ans. 27 and 6. 4. To divide the number 60 into two such parts, that their product may be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40. 5. The difference of two numbers...
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A Practical System of Algebra: Designed for the Use of Schools and Private ...

Peter Nicholson - Algebra - 1831 - 326 pages
...their product is equal to the cube of the less number. What are those numbers ? Ans. 3 and 18. (32) Divide the number 60 into two such parts, that their product may be to the sum of their squares iu the ratio of 2 to 5. Ans. 40 and 20. (34) There is a certain number,...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1838 - 368 pages
...feet more than the third. Required the length of each part, thai of the whole line being 37 feet ? 10. What number is that whose fifth part exceeds its sixth...the square of the less. Ans. The parts are ff and 2f|514. It is required to divide the number 36 into three such parts, that one half the first, one...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839 - 332 pages
...distance of 150 miles, set out to meet each other : one goes 3 miles, while the other goes 7. What part the distance will each have travelled when they meet...the square of the less. Ans. The parts are ff and 3ff 6. 14. It is required to divide the number 36 into three such parts, that one half the first, one...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...income? Ans. 9X70 dollars, or more generally, 9 times the sum he saves. 30. Divide the number 60 (a) into two such parts that their product may be equal to three times the square of the less number? Ans. 15 and 45, or |a= the less part. 31. After paying away £ and \ of my money, I had 34...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1846 - 544 pages
...its third part increased by its fourth part shall be equal to the number itself diminished by 10. 18. Divide the number 60 into two such parts, that their product may be equal to three lines the square of the less ? 19. A post is one-third in the mud, one-fourth in the water, and 10...
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Report of the Committee of Council on Education (England and Wales ..., Volume 2

Great Britain. Council on Education - 1846 - 548 pages
...its third part increased by its fourth part shall be equal to the number itself diminished by 10. 18. Divide the number 60 into two such parts, .that their product may be equal to three lines the square of the less ? 19. A post is one-third in the mud, one-fourth in the water, and 10...
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