 | Charles Waterhouse - Arithmetic - 1842 - 178 pages
...; either to investigate some truth or property, or to perform some operation. PROB. I. — The sum of two numbers, and the difference of their squares given, to find those numbers. RULE 1. — Divide the difference of their squares by the sum of the numbers, and the quotient will be their... | |
 | Charles Waterhouse - Arithmetic - 1842 - 180 pages
...Thus ^g — £=|j?J, then f f£-H=f U, less fraction, and f $£+f =&$, greater fraction. PROB. II. The difference of two numbers, and the difference of their squares given, tofind those numbers. RULE. — Divide the difference of their squares by the difference of their numbers,... | |
 | James H. Porter - Arithmetic - 1845 - 254 pages
...larger number. PROBLEM II. When the sum of two numbers is given, and the difference of their squares to find those numbers. RULE. Divide the difference of their squares by the sum of their numbers, and the quotient will be the difference of tho numbers ; then by Problem 1st... | |
 | Goodwin Mitchell - Arithmetic - 1849 - 224 pages
...difference added to half their sum will give the greater number j subtracted leaves the less. (13) Having the difference of two numbers and the difference of their squares given, to find those numbers: Divide the difference of their squares by the difference >of the numbers, and the quotient will be... | |
 | Uriah Parke - Arithmetic - 1849 - 414 pages
...measures 10 rods more than the base, and the hypotenuse is 50; required the area. Ans. 3f acres. CASE 10. The difference of two numbers, and the difference of their squares given, to find the numbers. Rule. Divide the difference of the squares by the difference of the numbers, the quotient... | |
 | Daniel Adams - Arithmetic - 1849 - 142 pages
...difference of their squares is 175 ; what are the numbers ? ANALYSIS. In this example we have the sum of two numbers, and the difference of their squares given, to find the numbers. That is, we have the product, 175, and one factor, 25, to find the other factor. 175 -f-... | |
 | Charles Guilford Burnham - 1850 - 350 pages
...202-^2 = 101 persons, in one room; then 101 + 142=243, in the other. Art. 306. — PROB. II. The sum of two numbers, and the difference of their squares...RULE. Divide the difference of their squares by the sum of the numbers, and the quotient will be their difference. We then have their sum and difference,... | |
 | Uriah Parke - Arithmetic - 1850 - 402 pages
...10 rods more than the base, and the hypotenuse is 50; required the area. ¿Ins. 3J acres. CASE 10. The difference of two numbers, and the difference of their squares given, to find the numbers. Rule. Divide the difference of the squares by the difference of the numbers, the quotient... | |
 | James Robinson - Arithmetic - 1850 - 342 pages
...measures 10 rods more than the base, and the hypothenuse is 50 rods ; required the area. Art. 282. The difference of two numbers, and the difference of their squares given, to find the numbers. RULE. Divide the difference of the squares by the difference of the numbers ; the quotient... | |
 | Daniel Adams - Measurement - 1850 - 144 pages
...difference of their squares is 175 ; what are the numbers ? ANALYSIS. In this example we have the sum of two numbers, and the difference of their squares given, to find the numbers. That is, we have the product, 175, and one factor, 25, to find the other factor. 175-4-25... | |
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Having the sum of two numbers and the difference of their squares* given, to find those numbers. Rule. Divide the difference of their squares by the sum of the numbers, and the quotient will be their difference : You will then have their sum and difference,... 
