| 1855 - 424 pages
...added, the first sum shall be to the second u the second to the third? Prob. 3. Find two number», **the greater of which shall be to the less as their sum** to 42, and as their difference to C. Prob. 4. Divide the number 18 into two such parts, that the squares... | |
| Horatio Nelson Robinson - Algebra - 1856 - 350 pages
...examples are intended to illustrate the practical utility of the foregoing theorems : EXAMPLES. 1. **Find two numbers, the greater of which shall be to the less,** a:i their sum to 42 ; and as their difference is to 6. a b : : c : d m m c d a : b m m a : b c : d... | |
| Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...PROPORTION. To show some of the applications of the preceding principles, we give the following problems : 1. **Find two numbers, the greater of which shall be to the less as their sum** to 42, and as their difference to 6. Let x = the greater, and y = the less. ( x : y = x+y : 42, (1)... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...root of V3:J + V 306. Which is the greater, the ratio of a + 2 : £ a + 4, or that of« + 4:Ja + 5? 7. **Find two numbers, the greater of which shall be to the less as their** sura is to 84, and as their difference is to 12. 8. The sum of au Arithmetical Series is 280; the first... | |
| Horatio Nelson Robinson - 1868 - 430 pages
...PROPORTION. To show some of the applications of the preceding principles, we give the following problems : 1. **Find two numbers, the greater of which shall be to the less as their sum** to 42, and as their difference to 6. Let x = the greater, and у = the less. =y = *+y:42, (D By the... | |
| Joseph Ficklin - Algebra - 1874 - 446 pages
...= c" : dn. Extracting the nth root of (2), " A" * / ya _ V с * /~ с . = л/с : 44O. PROBLEMS. 1. **Find two numbers, the greater of which shall be to...their sum is to 21, and as their difference is to 3.** Let x = the greater number, and y =. the less; then by the conditions of the problem, (x:y = x + y:21... | |
| Edward Olney - Algebra - 1877 - 466 pages
...The five following examples are designed to be solved by using two or more unknown quantities.] 11. **Find two numbers, the greater of which shall be to the less, as their sum** to 42 ; and as their difference is to 6. Suo. Then, (1) (2) By equality of ratios and Substituting... | |
| Edward Olney - Algebra - 1878 - 516 pages
...The five following examples are designed to be solved by using two or more unknown quantities. ] 11. **Find two numbers, the greater of which shall be to the less, as their sum** to 42 ; and as their difference is to 6. Suo. Chen, (1) (2) By equality of ratios and Substituting... | |
| James Bates Thomson - Algebra - 1878 - 322 pages
...3. Required a third proportional to 25 and 400. 4. Required a mean proportional between 9 and 16. 5. **Find two numbers, the greater of which shall be to the less, as their sum** to 42 ; and as their difference to 6. 6. Divide the number 18 into two such parts, that the squares... | |
| Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...shall be to B's as 3 to 4, and B's to C's as 2 to 5. Ans. A's, $360 ; B's, £480 ; C's, S1200. 11. **Find two numbers the greater of which shall be to the less as** 3 to 2, and their sum shall be to their product as 5 to 36. Ans. 18 and 12. 12. A farmer has two square... | |
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