The Elements of Algebra |
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Page 137
... digits , which if divided by the sum of its digits the quotient but if 27 be added to it , the number will be inverted . Let x be the digit in the ten's place , y unit's place ; .. 10x + y = the number , 10x + y and = 4 ; .. 2x = y . x ...
... digits , which if divided by the sum of its digits the quotient but if 27 be added to it , the number will be inverted . Let x be the digit in the ten's place , y unit's place ; .. 10x + y = the number , 10x + y and = 4 ; .. 2x = y . x ...
Page 144
... digits , and which divided by the sum of its digits , gives a quotient 7 ; but if the digits be written in an inverse order , and the number so arising be divided by the sum of the digits increased by 4 , the quotient = 3 ; find the ...
... digits , and which divided by the sum of its digits , gives a quotient 7 ; but if the digits be written in an inverse order , and the number so arising be divided by the sum of the digits increased by 4 , the quotient = 3 ; find the ...
Page 145
... digits when divided by the sum of the digits +9 , gives a quotient 19 ; also the middle digit the sum of the first and third ; and if 198 be added to the number , we obtain a number with the same digits but in an inverted order . What ...
... digits when divided by the sum of the digits +9 , gives a quotient 19 ; also the middle digit the sum of the first and third ; and if 198 be added to the number , we obtain a number with the same digits but in an inverted order . What ...
Page 147
... digits , the last of which is double of the first ; if the number be divided by the sum of the digits , the quotient is 22 , but if divided by a third of the product of the last two increased by 4 the quotient is also 22. Find the ...
... digits , the last of which is double of the first ; if the number be divided by the sum of the digits , the quotient is 22 , but if divided by a third of the product of the last two increased by 4 the quotient is also 22. Find the ...
Page 151
... digits , in which the sum of the squares of the digits 104 ; the square of the middle digit exceeds twice the product of the other two by 4 , and if 594 be taken from the number the digits will be inverted . Ans . 862 . ( 31 ) There are ...
... digits , in which the sum of the squares of the digits 104 ; the square of the middle digit exceeds twice the product of the other two by 4 , and if 594 be taken from the number the digits will be inverted . Ans . 862 . ( 31 ) There are ...
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Common terms and phrases
2ab+b² a²+2ab+b² a²x² a³b ab² ab³ algebraical quantities arithmetic mean arithmetic series arithmetical progression ax² binomial coefficient common difference compound cube root decimal denominator digits divided dividend division divisor equal examples expressed Extract the square factor Find the greatest find the numbers Find the sum fraction geometrical progression greatest common divisor greatest common measure Hence last term least common multiple less letters logarithm multiplied negative number of terms numbers in arithmetical P₁ permutations QUADRATIC EQUATIONS quotient ratio remainder result rule shew square root subtract surd third unity unknown quantity whence write written xy³
Popular passages
Page 38 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 199 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 22 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 173 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.