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" To find a number consisting of three places, whose digits are in arithmetical progression; if this number be divided by the sum of its digits, the quotient will be 48 ; and if from the number be subtracted 198, the digits will be inverted. "
A treatise on the elements of algebra, by G. Ainsworth and J. Yeats - Page 164
by G. Ainsworth - 1854
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 302 pages
...consists of three digits, of which the digit occupying the place of tens is half the sum of the other two. If this number be divided by the sum of its digits, the quotient is 48; but if 198 be subtracted from it, then we obtain for the remainder a number consisting of the...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...three places, such that the sum of the extreme digits is double that of the middle one ; and if it be divided by the sum of its digits, the quotient will be 48 ; also, if from the number 198 be subtracted, the digits will be inverted. Ans. 432. 7- Required the...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...Find a number consisting of three figures, whose digits are in arithmetical progression, such that if this number be divided by the sum of its digits, the quotient will be 48; and if from the number 198 be subtracted, the digits will be inverted. Ans. 432. 10. If A and В together cnn perform a piece...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1852 - 348 pages
...35. A certain number consists of three digits, which are in arithmetical progression ; and, if the number be divided by the sum of its digits, the quotient will be 27^-; but, if 396 be added to the number, the digits will be inverted. Required the number. Ans. 579....
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1854 - 414 pages
...35. A certain number consists of three digits, which are in arithmetical progression ; and, if the number be divided by the sum of its digits, the quotient will bo 27f , but, if 396 be added 20 to the number, the digits will be inverted. Required the number. Ans....
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 308 pages
...consists of three digits, of which the digit occupying the place of tens is half the sum of the other two. If this number be divided by the sum of its digits, the quotient is 48 ; but if 198 be subtracted from it, then we obtain for the remainder a number consisting of the...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...There is a number consisting of two digits, the second of which is greater than the first ; and if the number be divided by the sum of its digits, the quotient will be 4 ; but if the digits be inverted, and that number be divided by a number greater by 4 than the difference...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1859 - 422 pages
...33. In a number consisting of three digits, the middle digit is half the sum of the other two. If the number be divided by the sum of its digits, the quotient will be 26 ; and if 198 be added to the number, the order of the digits will be reversed. What is the number...
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The Institutes of Algebra: Being the First Part of a Course of Mathematics

Gerardus Beekman Docharty - Algebra - 1862 - 336 pages
...is to the sum of the second and third as 1 to 3. What are the numbers ? Ans. £, 1£, and 4£. 147. There is a certain number consisting of three digits...digits, the quotient will be 48 ; and if from the number 198 be subtracted, tho digits will be inverted. What is the number? Ans. 432. 148. Two travelers, A...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...,j ( y 9. A certain number consists of three digits, which are in arithmetical progression ; if the number be divided by the sum of its ^ digits the quotient will be 26, and if 198 be added to the number its digits will be inverted. What is the number ? Ans. 234. •...
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