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" But if the digits be inverted, and then divided by a number greater by unity than the sum of the digits, the quotient is greater by 2 than the preceding quotient ? Required the number. "
A Treatise on Algebra - Page 669
by George Peacock - 1830 - 685 pages
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Examples in algebra

James Wharton - 1848 - 164 pages
...what time will this cistern be filled when all three pipes are open at once ? Ans. 48 minutes. (112.) There is a number consisting of two digits, which,...its digits, gives a quotient greater by 2 than the tens or second digit ; but if the digits be inverted, and the resulting number be divided by a number...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1852 - 344 pages
...whose sum added to the sum of their squares is 42, and whose product is 15 ? 576. Find a number of 2 digits which when divided by the sum of its digits gives a quotient greater by 2 than the tens' digit. If the digits be reversed and then divided by a number greater by I than the sum of the...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...= 1000 X 10 + (1000 + x) X 5 or 30000 = 10000 + 5000 + 5 or; .•. 5x = 15000, and x = 3000 men. 5. There is a number consisting of two digits, which, when divided by their sum, gives the quotient 4 ; but if the digits be reversed, and the number thus formed be increased...
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Exercises and problems in algebra [by J. Pryde] with answers. without answers

James Pryde - 1855 - 70 pages
...Now, the men received altogether 18 shillings more than the women ; how many were there of each ? 37. There is a number consisting of two digits, which,...its digits, gives a quotient greater by 2 than the left-hand digit ; but if the digits be reversed, and the number so formed be divided by a number greater...
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Exercises and problems in algebra [by J. Pryde] with answers

James Pryde - 1855 - 136 pages
...question, ixX3x = 5xX2x+18, or 12x2=10.г2+ 18; and .-. x = 3. Hence there were 12 men, and 15 women. 37. There is a number consisting of two digits, which,...its digits, gives a quotient greater by 2 than the left-hand digit ; but if the digits be reversed, and the number so formed be divided by a number greater...
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Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ...

Charles Davies - Algebra - 1856 - 224 pages
...17 ; у = 15. 13. There is a number expressed by two digits, which, when divided by the sum of the digits, gives a quotient greater by 2 than the first...resulting number be divided by a number greater by 1 than the sum of the digits, the quotient will exceed the former quotient by 2 : what is the number?...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1857 - 408 pages
...Ans. 15 and 17. 13. There is a number expressed by two digits, which, when divided by the sum of the digits, gives a quotient greater by 2 than the first...resulting number be divided by a number greater by 1 than the sum of the digits, the quotient will exceed the former quotient by 2 : what is the number...
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A graduated series of exercises in elementary algebra

George Farncomb Wright - 1857 - 98 pages
...apples and a quarter of his pears for one shilling and a halfpenny. How many did he buy of each? 10. There is a number consisting of two digits, which, when divided by the sum of the digits, gives the quotient 3 ; but if the digits be inverted, and the resulting number increased...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 412 pages
...Ans. 15 and 17. 13. There is a number expressed by two digits, which, when divided by the sum of the digits, gives a quotient greater by %2 than the first...resulting number be divided by a number greater by 1 than the sum of the digits, the quotient will exceed the former quotient by 2 : what is the number...
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Elements of Algebra: For the Use of Schools and Junior Classes in Colleges

Philip Kelland - Algebra - 1860 - 308 pages
...there will be equal quantities of brandy in each. Eequired the quantity of brandy first drawn off. 24. There is a number consisting of two digits, which,...its digits, gives a quotient greater by 2 than the digit in ten's place. But if the digits be reversed, and then divided by a number greater by unity...
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