| Mathematics - 1801 - 446 pages
...#-f-4~y/25d:^z: 16 by evolution ; And therefore #— 16 — 4=12= less number, and 12-jS z:2o=r greater. ' 2. **To divide the number 60 into two such parts, that their product** may be 864. Let X = greater part, Then Then will 60 — x= less, And wX6c — x'=6ox — #'—864 by... | |
| John Bonnycastle - Algebra - 1811 - 230 pages
...PRACTICE. 1 . What two numbers are those whose sirn is 20, and theix 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 difference of two... | |
| John Bonnycastle - Algebra - 1813 - 456 pages
...rectangle of the whole and one of the parts shall be equal to the square of the other. Ans. 10/5 — 10 **5. It is required to divide the number 60 into two...2 to 5. Ans. 20 and 40 6. It is required to divide** 146 into two such parts, that the difference of their square roots may be 6. Ans. 25 and 121 7. What... | |
| Jeremiah Day - Algebra - 1820 - 352 pages
...and product, are as the numbers 2, 3, and 5, respectively ? Ans. 10 and 2. 12. Divide the number 24 **into two such parts, that their. product shall be to the sum of their squares,** as 3 to 1 0. Ans. 1 8 and 6. 13. In a mixture of rum and brandy, the difference between the quantities... | |
| Bewick Bridge - Algebra - 1821 - 284 pages
...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 are to each other as 3 : 2. If 6... | |
| Francis Tillett - Algebra - 1824 - 94 pages
...6720-^-12= j ( oD 560=a:з/ ; we then have given ѕ=48, and p=560, to find 3? and y. Answer 20 and 28. 7. **It is required to divide the number 60 into two such parts that** the product of two-thirds of each of them shall be=384. First -Х-=ф then384x9=3456,and 3456-7-4=864;... | |
| John Bonnycastle - Algebra - 1825 - 336 pages
...common rule, before given, Therefore ar=16 — 4=12, the less number, and x+6 =12+8=20, the greater. 2. **It is required to divide the number 60 into two such parts, that their product shall be** 864. , Let x= th,e greater part, Then will 60— x = the less, And ar(60— z)-= 60x— z3= 864, by... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...8 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... | |
| Warren Colburn - Algebra - 1826 - 290 pages
...borrowing and spending as before ; after which he had nothing left. How much money had he at first ? 23. **It is required to divide the number 60 into two such parts, that** one seventh of the one may be equal to one eighth of the other. 42 Jllgebra. VII. 24. It is required... | |
| Jeremiah Day - Algebra - 1827 - 352 pages
...and product, are as the numbers 2, 3, and 5, respectively ? Ans. 10 and 2. 12. Divide the number 24 **into two such parts, that their product shall be to the sum of their squares,** as 3 to 10. Ans. 18 and 6. 13. In a mixture of rum and brandy, the difference between the quantities... | |
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