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" If the number be divided by the sum of the digits, the quotient will be 26; but, if 198 be added to it, the digits will be inverted. "
An Introduction to Algebra, and to the Solution of Numerical Equations - Página 144
por John Radford Young - 1851 - 12 páginas
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 páginas
...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 digits be equal to x— y, x, and x+y, respectively. Then the number =...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 páginas
...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 — y) + lox + x + y = Mix— 99y; lll*-99y з* -'•...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1824 - 404 páginas
...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 number will be 100 . (x— у) + Юлг + x +y = = 26,...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 400 páginas
...32. 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 the digits, the quotient will be 4 ; but if the digits be inverted and that number divided by a number greater by 2 than the difference...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 páginas
...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 ? Let the digits be equal to x—y, x, and x+y, respectively. Then the number =...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1829 - 284 páginas
...32. There is a number consisting of two digits, the second of ^Ahich is greater than the iirst ; and if the number be divided by the sum of the digits, the quotient will be 4 ; but if the digits be inverted and that number divided by a number greater by 3 than the diffcrei.ca...
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The student's algebra

John Darby (teacher of mathematics.) - 1829 - 212 páginas
...one more than the sum of the digits, the quotient will be 6 ; but if the digits be inverted, and that number be divided by the sum of the digits, the quotient will be 4. Required the number. Let x denote the first digit, or that in the ten's place, and y denote the...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1832 - 408 páginas
...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 = 234. 17. The sum of 1/. 7s. was to be raised by subscription...
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A New Introduction to the Science of Algebra ...

Silas Totten - 1836 - 332 páginas
...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...the digits will be inverted. Required the number. Ans. 234. 4. A person bought 7 books, the prices of which were in arithmetical progression. The price...
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Treatise on the elements of algebra

James Bryce - 1837 - 322 páginas
...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. Required the number. Ans. 234. 30. The sum of three numbers in harmonical proportion is 13, and the product of their extremes...
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