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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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Dublin examination papers

Dublin city, univ - 1868 - 360 pages
...x and y from the equations 3. The three digits of a number are in arithmetical progression ; if the number be divided by the sum of its digits, the quotient will be 26 ; but if 198 be added to the number, the digits will occur in reverse order ; required the number....
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New University Algebra: A Theoretical and Practical Treatise Containing Many ...

Horatio Nelson Robinson - 1868 - 430 pages
...7, 9. 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. 10....
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A Collection of Algebraic Problems, Designed for Drill and Review in ...

Joseph Ficklin - Algebra - 1874 - 204 pages
...days. 14. 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 the order of its digits will be inverted. What is the number...
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Test Problems in Algebra: Prepared to Accompany Ray's Mathematical Series

H. B. Furness, George W. Smith, Jacob Henry Bromwell - Algebra - 1882 - 168 pages
...number will be reversed. Find the number. 26. If a number of two digits be increased by 1, and the sum be divided by the sum of its digits, the quotient will be 6; if the digits be in reversed order, and the square of the number thus resulting be subtracted from...
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The Franklin Elementary Algebra

Edwin Pliny Seaver, George Augustus Walton - Algebra - 1882 - 322 pages
...of two fractions is -, and their difference o c * 79. If a certain number expressed by two figures be divided by the sum of its digits, the quotient will be 6 and the remainder 7 ; but if the figures be interchanged, and the number so expressed be divided...
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Sheldons' Complete Algebra: Part I Being Sheldon's Elements of ..., Parts 1-2

Algebra - 1888 - 492 pages
...number consists of three figures. The hundred's figure is equal to the sum of the other two ; if the number be divided by the sum of its digits, the quotient will be 54 ; and 693 subtracted from the number will interchange its digits. Find the number. 36. If $20 be...
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A Complete Algebra: For High Schools, Academies and Normal Schools

George Washington Hull - Algebra - 1895 - 358 pages
...pound? 89. The ten's digit of a number exceeds the unit's digit by 2; and if the number increased by 3 be divided by the sum of its digits, the quotient will be 7 ; required the number. 90. In a number of two places the ten's digit is 6 more than the unit's digit...
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Exercises in Algebra

George Edward Atwood - Algebra - 1898 - 244 pages
...number exceeds the tens' digit by four times as much as the units' digit exceeds the tens'. If the number be divided by the sum of its digits, the quotient will be 70 and the remainder 3 ; and if 594 be subtracted from the number, the first and last digits will be...
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Grammar School Algebra

George Edward Atwood - 1900 - 276 pages
...dollar twentyeight cents. How many did he buy ? 63. A certain number is expressed by two figures. If the number be divided by the sum of its digits, the quotient will be seven and the remainder six. If the digits be interchanged and the resulting number divided by the...
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Elementary Algebra

John Henry Tanner - Algebra - 1904 - 398 pages
...of a 3-digit number is as much larger than the second as the second is larger than the first; if the number be divided by the sum of its digits, the quotient will be 15; and the number will be increased by 396 if the order of its digits be reversed. What is the number...
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