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" There is a number consisting of three digits, the first of which is to the second as the second is 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. What is the number ? equal... "
The Mathematical Repository: Containing Analytical Solutions of Near Five ... - Side 99
av James Dodson - 1775 - 336 sider
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1824 - 404 sider
...first of which is to the second as the second to the third ; the «umber itself is to the sum of ils digits as 124 to 7; and if 594 be added to it, the digits will be inverted. Required the number. Let the digits be represented by x, xy, rys ; then 100J+ I0xy + xy* : x+xy+xy3...
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The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful ...

Enoch Lewis - 1826 - 180 sider
...is a number consisting of three digits in geometrical progression; the number itself, is to the sum of its digits, as 124 to 7; and if 594 be added to it, the order of the digits will be inverted; what is the number? Ans. 248. • Promiscuous examples to exercise...
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The student's algebra

John Darby (teacher of mathematics.) - 1829 - 212 sider
...progression, the first of which is to the second as the 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 ;...
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Examples in Arithmetic and Algebra: Collected and Arranged from TheCambridge ...

1834 - 182 sider
...consisting of 3 digits in geometrical progression; the number is to the sum of its digits :: 124 : 7, and if 594 be added to it, the digits will be inverted. What is it ? Answer, 248. 53. A certain number when expressed in the scale of r consists of two digits; and,...
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Gradations in Algebra in which the First Principles of Analysis are ...

Richard W. Green - 1839 - 156 sider
...number, consisting of two places of figures, which is equal to 4 times the sum of its digits ; and if 18 be added to it, the digits will be inverted. What is that number 1 Let x= first digit or tens ; and y= the units. 10a;+y= the number. 4a;+4y= four times the sum of...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1841 - 456 sider
...digits, the first of which is to the second as the 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 the digits be represented by x, xy, xy' ; then 100# + 1oxy + xy' : x + xy...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1845 - 222 sider
...number consisting of 3 digits in geometrical progression; the number is to the sum of its digits =124 : 7; and if 594 be added to it, the digits will be inverted: find the number. 869. If the number expressed by the last n digits of a number be divisible by 2м,...
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An Elementary Treatise on Algebra: In which the Principles of the Science ...

Samuel Alsop - 1846 - 300 sider
...yards. Ex. 17. A certain number consisting of three digits in geometrical progression, 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. Ans. 248. Ex. 18. A sets out from Philadelphia to travel east, at the rate of...
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A Treatise on Algebra: In which the Principles of the Science are Familiarly ...

Samuel Alsop - 1848 - 336 sider
...yards. Ex. 17. A certain number consisting of three digits in geometrical progression, 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. Ans. 248. * .' * * . ' Ex. 18. A sets out from Philadelphia to travel east, at...
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - 1851 - 288 sider
...digits, the first of which is to the second as the 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. What is the number 1 Ans.248. 21. There are three numbers in arithmetical progression, and the square of the...
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