BCM3A11 BBA3A11 Basic Numerical Methods-1-23-7-23

9/13/24, 10:21 BCM3A11 BBA3A11 Basic Numerical Methods-1-
AM 23-7-23




BBA3B05Financial Management


Module I
NUMERICAL EXPRESSIONS AND EQUATIONS

THEORY OF EQUATIONS
An equation is a statement of equality between two
expressions. For eg:‐ x +2 = 5. An equation contains one or
more unknowns. Types of Equations
1) Linear Equation
It is an equation when one variable is
unknown. For example 2x + 3 = 7
Practical Problems
1. Solve 2x + 3 = 7
Ans: 2x = 7 – 3
4
2x = 4, x= =2
2

2. Solve 3x + 4x = 35
35
Ans: 7x = 35, x = =5
7

3. Solve 4 ( x ‐ 2 ) + 5 ( x – 3 ) – 25 = x +
8 Ans: = 4x – 8 + 5x – 15 – 25 = x + 8
= 4x + 5x – x = 8 + 8 + 15 + 25
8x = 56
x = 56/8 = 7
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BBA3B05Financial Management
4. 7x – 21 – 3x + 13 = 7 + 6x – 19
Ans: 7x – 3x – 6x
=7 – 19 + 21 – 13
= ‐ 2x = ‐ 4
2x = 4
4
x= =2
2

5. ‐23x + 14 – 7x + 16 = 10x – 17 + 3x + 4
Ans: ‐23x – 7x – 10x – 3x = 17 + 4 – 14 – 16
‐23x = ‐23 23x = 23
x = 23/23 =1
6. Find two numbers whose sum is 30 and difference is
4 Ans: Let one number = x
Then other number = 30 – x
Numbers = (30 –x) – x = 4
‐2x = 4 – 30
‐2x = ‐26 2x = 26
26
x= = 13
2

∴ numbers are 13, 17
7. Two third of a number decreased by 2 equals 4. Find the
number Ans: Let the number = x

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