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" A certain number consists of three digits, which are in arithmetical progression ; and the number divided by the sum of its digits is equal to 26; but if 198 be added to it, the digits will be inverted. What is the number? "
A Theoretical and Practical Treatise on Algebra: In which the Excellencies ... - Page 192
by Horatio Nelson Robinson - 1861
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...the numbers ? Ans. 3, 5, 7, and 9. Prob. 5. A certain number consists of three digits, which arc iu arithmetical progression ; and the number divided by the sum of its digits ie equal to 26 ; but if 198 be added to it, the digits will be inverted. What is the number ? Let the...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...shillings, respectively. 2. A number consists of з digits, which are in arithmetical progression ; and this number divided by the sum of its digits is equal to 26; but if 198 be added to it, the digits will be inverted. Required the number. Let x — y\ then the number will be 100 . (x...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...shillings, respectively. 2. A number consists of 3 digits, which are in arithmetical progression; and this number divided by the sum of its digits is equal to 26; but if 198 be added to it, the digits will be inverted. Required the number. Let xy~\ т > represent the digits; then the...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...the sum of the squares of the two last is 130. What are the numbers ? Ans. 3, 5, 7, and 9. Prob. 5. A certain number consists of three digits, which are...its digits is equal to 26 ; but if 198 be added to it, the digits will be inverted. What is the number ? Let the digits be equal to x—y, x, and x+y,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 358 pages
...the sum of the squares of the two last is 130. What are the numbers? Ans. 3, 5, 7, and 9. Prob. 5. A certain number consists of three digits, which are...its digits is equal to 26; but if 198 be added to it, the digits will be inverted. What is the number? Let the digits be equal to xy, x, and x-\-y, respectively....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 354 pages
...the sum of the squares of the two last is 130. What are the numbers? Ans. 3, 5, 7, and 9. Prob. 5. A certain number consists of three digits, which are...divided by the sum of its digits is equal to 26 ; but if 1 98 be added to it, the digits will be inverted. What is the number? Let the digits be equal to xy,...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1832 - 408 pages
...shillings respectively. 16. A number consists of 3 digits, which are in arithmetical progression ; and this number divided by the sum of its digits is equal to 26 ; but if 198 be added to it, the digits will be inverted. Required the number. Ans. The digits are 2, 3, and 4, and the number...
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Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...so on in geometric progression. Required the greatest distance it can reach. Ans. 400 miles. 29. A number consists of three digits, which are in arithmetical...its digits is equal to 26; but if 198 be added to it, the digits will be inverted. Required the number. Ans. 234. 30. The sum of three numbers in harmonical...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1841 - 356 pages
...the sum of the squares of the two last is 130. What are the numbers'? Ans. 3, 5, 7, and 9. Prob. 5. A certain number consists of three digits, which are...number divided by the sum of its digits is equal to 56; but if 198 be added to it, the digits will be inverted. What is the number? Let the digits be equal...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...first two is 34 ; and the sum of the squares of the last two is 130. What are the numbers ] Prob. 28. A certain number consists of three digits, which are...its digits is equal to 26 ; but if 198 be added to it, the digits will be inverted. What is the number 1 Let the digits be equal to x — y, x, and x-^y,...
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