| John Bonnycastle - Algebra - 1811 - 230 pages
...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 35 times** theix difference. Ans. 10 and 14. 13. The sum of two numbers i* 8; -uul the sum' of their cubes is... | |
| 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... | |
| Charles Hutton - Mathematics - 1812 - 622 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... | |
| John Bonnycastle - Algebra - 1818 - 328 pages
...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...divide a line, of 20 inches in length, into two such** jiarts that the rectangle of the whole and one of the parts shall be equal to the square of the other.... | |
| John Bonnycastle - Algebra - 1818 - 284 pages
...find a number such, that if you subtract it from 10, and then multiply the remainder by the number **itself, the product shall be 21. Ans. 7 or 3 3. It...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... | |
| 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 thes๎ora of their squares : : 3': 10. ANSWER, 18 and 6. Ex. 7. There are two numbers... | |
| 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... | |
| 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... | |
| John Bonnycastle - Algebra - 1825 - 336 pages
...find a number such, that if you subtract it from 10, and then multiply the remainder by the number **itself, the product shall be 21. Ans. 7 or 3 3. It...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... | |
| Peter Nicholson - Mathematics - 1825 - 1058 pages
...2.п/+у*= 100, or extracting the root дг+y = but x* + 2.n/+y= lOO, }ia . . , = = 2 -*, — 8 — У 2 6. **It is required to divide the number 24 into two such parts, that their product** shall be to the sum of their squares :: 3 : 1O. Ans. 18 and 6. 7. There are two numbers which are to... | |
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