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" A number consisting of three digits which are in arithmetical progression, being divided by the sum of its digits, gives a quotient 48 ; and if 198 be subtracted from the number, the digits will be inverted. "
Elements of Algebra - Page 215
by William Smyth - 1847
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 pages
...what is the circumference of each wheel ? Ans. 12 and 15 feet 20. A number consisting of three digits in arithmetical progression being divided by the sum of its digits gives 26, and if 198 be added to it the digits will be inverted; what is the number? Ans. 234 21. If бООО...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...quantities of each. Ans. 15 gallons of brandy, 17 of rum, and 19 of water. 4. A number consisting of three digits which are in arithmetical progression, being...48 ; and if 198 be subtracted from it, the digits wul be inverted. Required the number. Arts. 432. 5. During a scarcity, a person wished to make a mixture...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...quantities of each. Ans. 15 gallons of brandy, 17 of rum, and 19 of water. 4. A number consisting of three digits which are in arithmetical progression, being...the digits will be inverted. Required the number. Am. 432. 5. During a scarcity, a person wished to make a mixture of 24 bushels, consisting of wheat,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...sum of the two extremes 165. Ans. 5. 10, 20, 40, 80, and 160. Prob. 10. A number consisting of three digits which are in arithmetical progression, being...the digits will be inverted. Required the number. Ans. 432. Prob. 1 1 . The difference between the first and second of four numbers in geometrical progression...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...sum of the two extremes 165. Ans. 5, 10, 20, 40, 80, and 160. Prob. 10. A number consisting of three digits which are in arithmetical progression, being...the digits will be inverted- Required the number. Ans. 432. Prob. 11. The difference between the first and second of four numbers in geometrical progression...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...difference. Then x — y, x, and x + y will express the three quantities. 8. A number consisting of three digits which are in arithmetical progression, being...the sum of its digits, gives a quotient 48 ; and if 1 98 be subtracted from the number, the digits will be inverted. Required the number. 9. A person employed...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1826 - 290 pages
...difference. Then x — y, x, and x + y will express the three quantities. 8. A number consisting of three digits which are in arithmetical progression, being...gives a quotient 48 ; and if 198 be subtracted from the number, the digits will be inverted. Required the number. 9. A person employed 3 workmen, whose...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 430 pages
...sum of the two extremes 165. Ans. 6, 10, 20, 40, 80, and 160. Prob. 10. A number consisting of three digits which are in arithmetical progression, being divided by the sum of its digit?, gives a quotient 48 ; and if 198 be subtracted from it, the digits will be inverted. Required...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...difference. Then x — y, x, and x -\- y will express the three quantities. 8. A number consisting of three digits which are in arithmetical progression, being...gives a quotient 48 ; and if 198 be subtracted from the number, the digits will be inverted. Required the number. 9. A person employed 3 workmen, whose...
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The student's algebra

John Darby (teacher of mathematics.) - 1829 - 212 pages
...second to the third, the number itself is to the sum of its digits as 124 to 7, and if 594 be added to it, the digits will be inverted. Required the number. Let x = the first digit, or that in the hundredth's place, and y = the ratio ; .-. by the question, IQQx+lQxy+xy2...
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