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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 162
by G. Ainsworth, J. Yeats - 1854
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An Essay on Mathematical Language: Or, An Introduction to the Mathematical ...

Giovanni Alberto Baselli - Mathematics - 1787 - 440 pages
...of three places, whofe digits are in arithmetical proportion; if this number be divided by the fum of its digits, the quotient will be 48 ; and if from the number be fubtrafted 198, the digits will be inverted. Solution. Notation. Let the three digits be x,y, z, and...
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Elements of Algebra for the Use of Students in Universities: To which is ...

William Trail - Algebra - 1796 - 311 pages
...three places, •whofe digits are in arithmetical proportion ; if this number be divided by the fur* of its digits, the quotient will be 48 ; and if -from the number be fubtratled i98, the digits -will be inverted. i.et the 3 digits be| Then the number is; If the digits...
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - Algebra - 1821 - 216 pages
...equal to 34. Ans. 26, 22, and 10. 129. 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 43 ; and if from the number be subtracted 198, the digits will be inverted. Ans. 432. 130. To find...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Arithmetic - 1825 - 144 pages
...equal to 54. Ans. 26, 22, and 10. 129. To find a number consisting of three places, whose digits are in arithmetical progression; if this number be divided...number be subtracted 198, the digits will be inverted. Ms. 432. 130. To find three numbers such, that | the first, \ of the second, and i of the third, shall...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Arithmetic - 1825 - 144 pages
...equal to 34. .'7/i*. 2G, 22, and 10. 129. To find a number consisting of three places, whose digits are in arithmetical progression ; if this number be divided...quotient will be 48; and if from the number be subtracted 193, the digits will be inverted. Ans. 432. 130. To find three numbers such, that ^ the first, \ of...
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Algebraic exercises, Volume 1

Henry Ottley - 1828
...number of shillings I possess, is a number consisting of three digits in arithmetical progression; and if this number be divided by the sum of its digits, the quotient will be 48 : also, if from the said. number 198 be subtracted, the order of the digits will be inverted. How much...
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A Collection of Arithmetical and Algebraic Problems and Formulae

Meyer Hirsch - Algebra - 1831 - 342 pages
...What numbers are they? Ans. 30, 48, 50. 72) A certain number consists of three digits, which are in an arithmetical progression. If this number be divided by the sum of its digits, (that is, without considering the value they have as tens and hundreds), the quotient is 48; but if...
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 252 pages
...out, he sold of the remainder, at cost, for $20. How many gallons did he buy ? 11. If a certain number be divided by the sum of its digits, the quotient will be 8; but if the digits be inverted, and that number divided by 2 less than their difference, the quotient...
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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 304 pages
...being given. 3. A 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 26 ; but if 198 be added to it, the digits will be inverted. Required the number. Ans. 234. 4. A person...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 276 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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