...sums will be in the ratio of 5 to 6. What are the numbers ? Ans. 15 and 20. 29. Divide the number 36 into two such parts that the quotient of the greater part divided by 6 shall be to the quotient of the less divided by 30 as 25 is to 1. Ans. 30 and 6. 30. Find two numbers...

...two such parts, that the sum of the squares of those parts shall be b. Am. £(a± v^¿) — a2). 4. It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14. 5. The sum of two numbers...

...2304. whence, by the rule, ж = 50±уТ96~=50 ± 14; hence, x = 64, x = 36, and у = 36, у = 64. 11. It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Let x and у denote the parts. From the conditions...

...30. 21. It is required to divide the number 14 into two such parts, that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater, as 16 : 9. Ans. The parts are 8 and 6. 22. What two numbers are those whose...

...less. *It is required to divide the number 14 into two such parts, that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater, as 16 : 9. JE WHITE. 3. [Vol. Ill, No. I, Q. i, p. 21.] I have some corn worth...

...5. Find the value of a; in Tij (2x _ 8) — J (3a; — 2) + 8& — J (4a; — 3 | = 0. 6. Divide 91 into two such parts that the quotient of the greater part, divided by the difference between the parts, may be 7. GEOMETRY. First Division will take 1, 2, 4, 5. Second Division...

...Divide ж2-МУ + Уbуж4 + 3 « , 3V — 2ж caí о « , 5. Solve 2ж — ^4 — = 74 5 6. Divide 91 into two such parts that the quotient of the greater part divided by the difference between the parts may be 7. 7. Extract the square root of 16ж4 — 32 a? + 24 a;2 — 8x+l....

...4. Divide ж3 + ж4y* + y3 by x4 + я?y1 + y*. кол о У+3 5. Solve 2ж — !L—- 6. Divide 91 into two such parts that the quotient of the greater part divided by the difference between the parts may be 7. 7. Extract the square root of 16ж4-32ж2 + 24ж2-8ж+ 1. 18....

...the simultaneous equations x -f- 2y + 27. = n, 2x -f у + z = у, зх + 4y + z = 14. 4. Divide 91 into two such parts that the quotient of the greater part divided by the difference between the parts may be 7. 5. Expand (i — 2x:* )* by the binomial formula. 6. Simplify...

...the simultaneous equations x -|- 2y + 2z = n, 2x + y -f- z = 7, 3x -+- 4y -f- z = 14. 4. Divide 91 into two such parts that the quotient of the greater part divided by the difference between the parts may be 7. 5. Expand (1 — 2x» )4 by the binomial formula. 6. Simplify...