Solve integers and algebra
Introduction :
Integers are the natural numbers including 0 (0, 1, 2, 3, ...) collectively through the negatives of the non-zero natural numbers (−1, −2, −3, ...). Set of integers is usually indicated through the sign Z. Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory.
(Source: Wikipedia)
Solve integers and algebra:
Odd and even Numbers
Begin with an even number:
Every number within the sequence is 2 more than the preceding number. Obtain the consecutive odd integers.
Example: 26,28, 30, …
Begin with an odd number:
Every number within the sequence is 2 more than the preceding number. Obtain consecutive odd integers.
Example: 43, 45, 47, …
Algebra is a division of mathematics to replacement letters for numbers. Numbers be the constants. Algebra be able to contain real numbers, matrices, complex numbers, vectors and so on.
Examples
Example 1:
Solve the sum of four consecutive integers is 26. Find th the integers.
Solution:
Consider the four consecutive integers are x, x+1, x+2, x+3
x+x+1+x+2+x+3=26
4x+6=26
4x =26-6
4x=20
x=20/4
x=5
x=5, x+1= 6, x+2=7, x+3=8
Therefore four consecutive numbers are 5, 6, 7, 8
Example 2:
Solve the sum of three consecutive integers is 30. Find th the integers.
Solution:
Consider the three consecutive integers are x, x+1, x+2
x+x+1+x+2=30
3x+3 = 30
3x = 30-3
3x = 27
x= 27/3
x= 9
x= 9, x+1= 10, x+2=11.
Therefore three consecutive numbers are 9,10, 11
Example 3:
Solve `(x+1)/4 ` =6
Solution:
Multiply 4 on both sides, we get
`((x+1)xx4)/4` =6x4
X+1=24
X=24-1
X=23
Integers are the natural numbers including 0 (0, 1, 2, 3, ...) collectively through the negatives of the non-zero natural numbers (−1, −2, −3, ...). Set of integers is usually indicated through the sign Z. Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory.
(Source: Wikipedia)
Solve integers and algebra:
- Consecutive integers are integers to follow within series. All number being 1 more than the preceding number.
- Consecutive integers are represented through n, n +1, n +2, n + 3, ..., wherever n is any integer.
Odd and even Numbers
Begin with an even number:
Every number within the sequence is 2 more than the preceding number. Obtain the consecutive odd integers.
Example: 26,28, 30, …
Begin with an odd number:
Every number within the sequence is 2 more than the preceding number. Obtain consecutive odd integers.
Example: 43, 45, 47, …
Algebra is a division of mathematics to replacement letters for numbers. Numbers be the constants. Algebra be able to contain real numbers, matrices, complex numbers, vectors and so on.
Examples
Example 1:
Solve the sum of four consecutive integers is 26. Find th the integers.
Solution:
Consider the four consecutive integers are x, x+1, x+2, x+3
x+x+1+x+2+x+3=26
4x+6=26
4x =26-6
4x=20
x=20/4
x=5
x=5, x+1= 6, x+2=7, x+3=8
Therefore four consecutive numbers are 5, 6, 7, 8
Example 2:
Solve the sum of three consecutive integers is 30. Find th the integers.
Solution:
Consider the three consecutive integers are x, x+1, x+2
x+x+1+x+2=30
3x+3 = 30
3x = 30-3
3x = 27
x= 27/3
x= 9
x= 9, x+1= 10, x+2=11.
Therefore three consecutive numbers are 9,10, 11
Example 3:
Solve `(x+1)/4 ` =6
Solution:
Multiply 4 on both sides, we get
`((x+1)xx4)/4` =6x4
X+1=24
X=24-1
X=23