| John Bonnycastle - Algebra - 1811 - 230 pages
...from 10, and multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3. 11. **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... | |
| 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 - 620 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... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...lew ; v by theprob.x1 4 -- =ic,'.-i=^/ -- ,bx <2x = 12, and— =—=8. a 3 28. Divide the number 25 **into two such parts, that the sum of their square roots may be** 7. Let o=25, fc=7. x=one part, then a—x=the other, v by theprob. ^x+ ^/a—x=b; square both sides,... | |
| John Bonnycastle - Algebra - 1818 - 326 pages
...10, aijd then multiply the remainder by the number itself, the product shall be 21. 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 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 thesîora 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... | |
| Leonhard Euler - Algebra - 1821 - 380 pages
...of two numbers being given ; to find the numbers. Ans. a — V6 — a2 and 141. To divide the number **100 into two such parts, that the sum of their square roots may be 14.** Jlns. 64 and 36. 142. To find three such numbers, that the sum of the first and second multiplied into... | |
| Thomas Simpson - Algebra - 1821 - 426 pages
...y== 1,and y = 4 + \/ | ; consequently o; (1+J/) =! + \/£• PROBLEM LI. To divide the number 100 (a} **into two such parts, that the sum of their square roots may be 14** (bJ * Let the greater part be x, and the lesser will be a — x ; therefore, ly the problem, \/ x +... | |
| 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... | |
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