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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.
A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ... - Page 133
by John Bonnycastle - 1813 - 428 pages

## An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 230 pages
...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 35 times theix difference. Ans. 10 and 14. 13. The sum of two numbers i* 8; -uul the sum' of their cubes is...

## A Course of Mathematics ...: Composed for the Use of the Royal Military ...

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...

## A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 622 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...

## An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 328 pages
...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...divide a line, of 20 inches in length, into two such jiarts that the rectangle of the whole and one of the parts shall be equal to the square of the other....

## An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 284 pages
...find a number such, that if you subtract it from 10, and then multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3 3. It...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...

## An Elementary Treatise on Algebra

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 thes๎ora of their squares : : 3': 10. ANSWER, 18 and 6. Ex. 7. There are two numbers...

## A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

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...

## A Treatise on the Elements of Algebra

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...