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" A certain number, consisting of two places, a unit and a ten, is four times the sum of its digits, and if 27 be added to it, the digits will be inverted. What is the number ? NOTE. "
A treatise on the elements of algebra, by G. Ainsworth and J. Yeats - Page 156
by G. Ainsworth - 1854
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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...19, and 11. 5. There is a certain number consisting of two places, a unit and a ten, which is four times the sum of its digits, and if 27 be added to...it, the digits will be inverted. What is the number? Am. 36. remove from the unit multiplies by 10. Hence, if x represents a digit in the place of tens,...
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...quantitieS. 1. There is a number which being divided by the products of its two digits, the quotient is 2, and if 27 be added to it, the digits will be inverted. What is the number ? Let x and y be the digits ; then 10 x -\- y = the number. From the first condition From the second...
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An Introduction to Algebra, and to the Solution of Numerical Equations

John Radford Young - 1851 - 266 pages
...number, consisting of two digits, which is equal to four times the sum of those digits ; and if 1 8 be added to it the digits will be inverted: what is the number?* * It is worthy of notice that every number consisting of two digits, and of which the second is double...
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - Algebra - 1851 - 288 pages
...3. 4. What number is that, which being divided by the product of its two digits, the quotient is 2 ; and if 27 be added to it the digits will be inverted 1 Ans. 36. 5. There are three numbers, the difference of whose differences is 8 ; their sum is 41,...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...consisting of two places of figures, which being divided by the sum of its digits, the quotient is 4, ' and if 27 be added to it, the digits will be inverted ; required the number. Ans. 30. 25. A grocer has two kinds of sugar, of such quality that one pound...
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The Popular Educator, Volume 6

1855 - 424 pages
...arithmetical progression, and the number divided by the Bum 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 z — у, x and x + y, respectively. Then the number = 100 (* — y) +...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...29 lines in a page and 32 letters in a line. equal to four times the sum of those digits ; and if 18 be added to it, the digits will be inverted. What is the number? Ans. 24. 16. To find a fraction such, that if 3 be subtracted from the numerator and denominator, it...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...consisting of twc places of figures, is equal to the difference of the squares of its digits ; and if 36 be added to it, the digits will be inverted. What is the number ? Ans. 48. Prob. 63. A general ranging his army in the form of a solid square, finds he has 119 men...
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A Theoretical and Practical Treatise on Algebra: ... Designed for Schools ...

Horatio Nelson Robinson - Algebra - 1858 - 372 pages
...places, a unit •+- v ^ v.. ? Г and a ten, which is four times. the sum of its digits, and if 27 be ÎJ added to it, the digits will be inverted. What is the number ? ^ • ' Ans. 36. /' *-! Л NOTE. Undoubtedly the reader has learned in arithmetic that M . ^** numerals...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...British. 24. What number is that, which being divided by the product of its two digits, the quotient is 2, and if 27 be added to it, the digits will be inverted ? Ans. 36. 25. I have a certain number in my mind ; this I multiply by 2J, •dd 7 to the product,...
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