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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

## The Complete Algebra: Designed for Use in Schools, Academies, and Colleges

Joseph Ficklin - Algebra - 1874 - 446 pages
...to m times their difference. . a — 2m ± Vet2 + am« , a + 2m T Va* + Ans. - ñ - — and 5 A 9. Divide 100 into two such parts that the sum of their square roots shall be 14. Ans. 64 and 36. 10. Divido a into two such parts that the sum of their square roots shall...

## Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ...

Charles Davies - Algebra - 1879 - 288 pages
..., 42 21 taking the lower sign p = — = -^ substituting in (4), y = y -s- = 4 ; whence, ж = 7. 10. Divide 100 into two such parts, that the sum of their square roots may be 14. Let x and y denote the parts. From the conditions, x+ y = 100 ... (1), y^+Vy= 14 ... (2): squaring...

## A University Algebra

Edward Olney - Algebra - 1880 - 354 pages
...will come together ? 4. Divide the number 48 into two such parts that their product may be 432. 5. Divide the number 24 into two such parts that their...product may be equal to 35 times their difference. C. For a journey of 108 miles, G hours less Avould have sufficed, had the traveller gone 3 miles an...

## First Principles of Algebra: An Introduction to the Author's Complete, Or ...

Edward Olney - Algebra - 1881 - 254 pages
...numbers are those whose difference is 8, and the sum of whose squares is 544 ? 9. Divide the number 100 into two such parts that the sum of their square roots may be 14. Suggestions-Lot xi and y2 be the numbers. 10. The product of two numbers is 12, and the sum of iiieir...

## The Ohio Educational Monthly and the National Teacher: A Journal ..., Volume 30

Education - 1881 - 516 pages
...two numbers is 14, and the sum of their cubes is 728. What are the numbers? 9. Divide the number 145 into two such parts that the sum of their square roots may be 17. 10. Form the equation whose roots are 2, 3, and 3 ± \/2. GEOGRAPHY. 1. Begin with Maine and name,...

## A University Algebra: Comprising a Compendious, Yet Complete and Thorough ...

Edward Olney - Algebra - 1882 - 358 pages
...will come together ? 4. Divide the number 48 into two such parts that their product ymay be 432. 5. Divide the number 24 into two such parts that their...product may be equal to 35 times their difference. 7. The fore wheel of a coach makes 6 revolutions more than the hind wheel in going 120 yards ; but,...

## Algebra for beginners. [With.] Answers

William Dodds - 1884 - 162 pages
...fractions in the ratio of 5 : 3, such that the difference of their squares shall be T",V (32) Divide 52 into two such parts that the sum of their square roots may be 10. [Let *2 and y2 be the two parts.] (33) Divide 130 into two parts such that the difference of their...

## Queries: Devoted to Literature, Art, Science, Education, Volume 1

1885 - 286 pages
...as many solid units as there are linear units in the distance between its two opposite corners. 15. Divide 100 into two such parts that the sum of their square roots shall be 14. 16. Required the side of a cubical vat which shall contain A part as much as one whose...