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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 154
by G. Ainsworth, J. Yeats - 1854

## A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - Algebra - 1813
...number is that, the quotient of which, when divided by the product of its two digits, shall be 2 ; • and if 27 be added to it, the digits will be inverted ? Ans. 36 17- The sum of three numbers in harmonical proportion is 191, and the product of the first...

## An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 260 pages
...consisting of two 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 3. What two numbers are those, whose difference, sum, and product, are to each other as the...

## An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 332 pages
...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 = 100(a;— y) + 10o;...

## Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 438 pages
...27. What number is that, which being divided by the product of its two digits, the quotient is two, and if 27 be added to it, the digits will be inverted ? Let x and у be the digits ; Л lox + у = the number, , юл? + и and — y- = 2 ; xy .'. 1007...

## An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - Algebra - 1824 - 516 pages
...Prob. G. 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. 3G. Prob. 7. There are three numbers, the difference of whose difference is 5 ; their sum...

## Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 383 pages
...'S?. What number is that, which being divided by the product of its two digits, the quotient is two, and if 27 be added to it, the digits will be inverted ? Let лг and у be the digits; .'. 10лг + y = the number, , lOx+y and - £ = 2; xy also by transposition,...

## An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 312 pages
...consisting of two places of figures which is equal to four times the sum of its digits ; and if 18 be added to it the digits will be inverted ; what is the number ? Ans. 24. 17. Two persons, A and B, have both the same income ; A saves a fifth of his yearly, but...

## An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 383 pages
...Frob. 6. 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. Prob. 7. There are three numbers, the difference of whose differences is 5 ; their sum is...