 | John Bonnycastle - 1813 - 456 σελίδες
...shall be equal to the square of the other. Ans. 10/5 — 10 5. It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40 6. It is required to divide 146 into two such parts, that the... | |
 | Bewick Bridge - 1818 - 254 σελίδες
...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 which are to... | |
 | John Bonnycastle - 1818 - 284 σελίδες
...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 20 inches... | |
 | John Bonnycastle - 1818 - 326 σελίδες
...13s. and B 11s. 29. What two numbers are those whose difference, sum and product, are to each other as the numbers 2, 3, and 5, respectively ? Ans. 10 and 2 30. A person in play lost a fourth of his money, and then won back 3s., after which he lost a third... | |
 | Bewick Bridge - 1821 - 284 σελίδες
...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 are to each other as 3 : 2. If 6... | |
 | Miles Bland - 1824 - 404 σελίδες
..." £ ~" and 4 : 3 :: - : 6; .'. y = 24, and x = — '— = 32; 3 .'. the numbers are 32 and 24. 5. What two numbers are those, whose difference, sum,...product, are .as the numbers 2, 3, and 5, respectively ? Let x and у = the numbers ; and .'. x= 103 and .'. the numbers are 10 and 2. 6. A and ß playing... | |
 | James Ryan, Robert Adrain - 1824 - 542 σελίδες
...which shall be to the less as their sum to 42, and as their difference to 6, Ans. 32, and 24. Prob. 4. What two numbers are those, whose difference, sum,...product, are as the numbers 2, 3, and 5, respectively 1 Ans. 10, and 2. Prob. 5. In a court there are two square grassplots ; a side of one of which is 10... | |
 | James Ryan - 1824 - 550 σελίδες
...which shall be to the less as their sum to 42, and as their difference to 6, Ans. 32, and 24. Prob. 4. What two numbers are those, whose difference, sum, and product, are as the numbers 2, 3, ind 5, respectively ? Ans. 10, and 2. Prob. 5. In a court there are two square grassplots ; a side... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...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 each other as 3 : 2. If б le added... | |
 | John Bonnycastle - 1825 - 336 σελίδες
...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 20 inches... | |
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What two numbers are those, whose difference, sum, and product, are as the numbers 2, 3, and 5, respectively ? Ans. 
