Single equation method | Single equation model | Example of single equation.

Single equation method : 
Single equation method
An equation has a single variable, that equation is called a single variable.
If the variable exponent of a variable equation is 1, then that equation is called a simple equation.
Example : a + 7 = 18
The value at which the variable satisfies the equation is called a unitary equation.

Examples of single equation :
1)  3a + 4 = 10
            3a = 10 - 4
            3a = 6
            a = 6 / 3
            a = 2
2) 4a + 1 = 9
           4a = 9 - 1
           4a = 8
           a = 8 / 4
           a = 2
3) 3b - 5 = 4
          3b = 4 + 5
          3b = 9
          b = 9 / 3
          b = 3
4) ( b / 110) - 60 = 240
         ( b / 110 ) = 240  + 60
         ( b / 110 ) = 300
          b = 300 × 110
          b = 33000
5) ( b / 40) + 60 = 70
          ( b / 40 ) = 70 - 60
          ( b / 40 ) = 10
           b = 10 × 40
           b = 400
6) 5a - 8 = 2 ( a - 1 )
         5a - 8 = 2a - 2
         5a - 2a = 8 - 2
         3a = 6
         a = 6 / 3
         a = 2
7) 6a - 1 = 3a + 2
       6a - 3a = 2 + 1
       3a = 3
       a = 3 / 3
       a = 1
8) Subtracting 2 from the triple of a number is equal to the addition of 5 to double that number. Find that number.

Ans. :
Suppose that number = a
Her triple = 3a
Subtraction by subtracting 2 from the triple = 3a - 2
Double the given number = 2a
The sum obtained by 5 in this double is = 2a + 5
Given that the above subtraction and addition are the same.
Desirable Equation : 3a - 2 = 2a + 5               
by solving this equation
3a - 2   = 2a + 5
3a - 2a = 5 + 2
a = 7
So that number is 7.
9) The sum of three consecutive numbers is 30, so what are those numbers?
Ans. :
A serial number is a natural number with a difference of 1.
Suppose, the smallest number of three = a.
The number of adjacent ones is = a + 1
Largest number = a + 2
the sum of the consecutive numbers is 30.
therefore,
a + ( a + 1 ) + ( a + 2 ) = 30
3a + 3 = 30
3a = 30 - 3
3a = 27
a = 27 / 3
a = 9.
therefore,
first number = 9
second number = 10
and large number = 11.


Related Links :

1. Boat and Stream short tricks :




Comments

Post a Comment

Popular posts from this blog

Series Order tricks, shortcuts and examples.

Image
Series Order tricks : A category of three, four or some numbers is given in the competitive examination. There is a mutual relationship among these numbers. The same relationship has to be understand and the same basis is to be increased further. Examples : 1) What will be the next number in the following series. 3, 10, 31, 94, ----- Ans. : Each terms is increasing by : ( n × 3 ) + 1. Therefore, ( 3 × 3 ) + 1 = 10 ( 10 × 3 ) + 1 = 31 ( 31 × 3 ) + 1 = 94 ( 94 × 3 ) + 1 = 283 Therefore, next number : 283. 2) Find the next order in the category. 1, 4, 9, 16, ---- Ans. : Each term is a squares of consecutive numbers. therefore, 5 × 5 = 25. therefore, next number = 25. Examples : Q. What will be the next number in the following series .  1) 3, 6, 10, 15, 21, ---- Ans. : The difference in each term is increasing in the form of consecutive numbers. that is 3 + 3 = 6. 06 + 4 = 10. 10 + 5 = 15. 15 + 6 = 21. 21 + 7 = 28. There
Read more

Quartile Definition, formulas, First Quartile, Third Quartile, How to calculate the Quartile.

Image
Quartiles : Quartile Definition : " All data divided four equal parts is known as Quartile. " It is clear that the items which divided the data into four equal parts lie at the quarter, half and three quarters, of the way down the arrangement. Quartile denoted by Q1 means first quartile, Q2 means second quartile, Q3 means third quartile respectively. Clearly the second quartile is the Median item. Mean         Median          Mode Quartile Formulas : For Individual items and Discrete Distribution : 1) First Quartile = Q1 = Size of [ ( N + 1 ) / 4 ]th item. 2) Third Quartile = Q3 =  Size of 3 × [ ( N + 1 ) / 4 ]th item For Continues Distribution : 1)  First Quartile = Q1 = Size of [ N / 4 ]th item. 2) Third Quartile= Q3 =Size of 3 × [ N / 4 ] th item Quartiles Examples : Computation of Quartiles for Individual Data : 1) Calculate the first, second and third quartile from the following values weights in kg of a group of students. 50, 51
Read more

Decile : Decile Definition, How to calculate Decile, Decile Formulas.

Image
Decile : Decile Definition : " All data divided Ten equal parts is known as Decile. " It is clear that the items which divided the data into ten equal parts lie at the D1, D2, ...., D10 of the way down the arrangement. Decile denoted by D1 means first decile, D2 means second decile, and so on D10 means tenth decile respectively.               Mean          Median         Quartiles Decile Formulas : For Individual items and Discrete Distribution : 1) First Decile = D1 = Size of [ ( N + 1 ) / 10 ]th item. 2) Second Decile = D2 =  Size of 2 × [ ( N + 1 ) / 10 ]th item. 3) Third Decile = D3 = Size of 3 × [ ( N + 1 ) / 10 ] th item. and so on, 10) Tenth Decile = D10 = Size of  ( N + 1 ) th item. For Continues Distribution : 1) First Decile = D1 = Size of [ N / 10 ]th item. 2) Second Decile = D2 = Size of 2 × [ N / 10] th item and so on, 10) Tenth Decile = D10 = Size N th item. Deciles Examples : Computation of Dec
Read more