 | Calvin Tracy - Arithmetic - 1842 - 306 pages
...length and breadth? Ans. Length, 28 rods; breadth, 21 rods. PROB. 39. Given the sum of the squares of two numbers, and their product, to find the numbers. RULE. — To and from the SUM of the squares, add and subtract twice their product, and extract the sguare root... | |
 | Calvin Tracy - Arithmetic - 1845 - 298 pages
...perpendicular, 36 rods. PKOB. 40. Given the product of two numbers, and the difference of their squares, to find the numbers. RULE. — To the square of the difference add four times the square of the product, and the square root of the result trill be the sum of the squares ; then proceed... | |
 | Uriah Parke - Arithmetic - 1849 - 414 pages
...collected was 1025. How many boys were there ? Ans. 20 in the less company and 25 in the greater. CASE 7. Given the difference of two numbers, and their product,...square of the difference add four times the product, and the square root of the sum will be the sum of the numbers. Then proceed by Case 1. Illustration.... | |
 | James Robinson - Arithmetic - 1850 - 342 pages
...company, and the whole number collected was 1025. How many boys were there in each company ? Art. 279. Given the difference of two numbers, and their product,...square of the difference add four times the product, and the square root of the sum will be the sum of the numbers. Then proceed as in Art. 123. EXAMPLE.... | |
 | Uriah Parke - Arithmetic - 1850 - 402 pages
...collected was 1025. How many boys were there ? Jlns. 20 in the less company and 25 in the greater. CASE 7. Given the difference of two numbers, and their product,...square of the difference add four times the product, and the square root of the sum will be the sum of the numbers. Then proceed by Case 1. Illustration.... | |
 | Joseph Ray - Algebra - 1867 - 240 pages
...numbers is 120J, and the difference of their squares 60; required the numbers. Ann. !);, and 5i. (2) PROBLEM. — Having given the difference of two numbers,...the square root of the sum; add the result to the difference, and also subtract the difference from it, then half the sum will be the greater number,... | |
 | 1886 - 580 pages
...I buy " ? SHENANDOAH. The following is respectfully offered : We have in this and similar examples, given the difference of two numbers and their product to find the numbers. In the present case the difference is 2 and the product (i2Xi2X2)-Ji=z88; hence the sum of the =34!... | |
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... and each boy got as many nuts as there were boys in his company. Moreover all the boys in the larger company got 225 nuts more than all the boys in the smaller company ; and the whole number collected was 1025. How many boys were there ? Ans. 