The sum of a two-digit number and the number formed by reversing the digits is 33. Also the sum of the digits is 4.Represent the above situation algebraically and graphically.
Step1: Algebraic representation.
Let the two digit number be
The number formed by reversing the digits
Using first condition,
Given that sum of digits
That is ……………….(2)
Pair of equations (1) and (2) represents the given situation algebraically
step2: Graphical representation
Find the points corresponding to
Substituting different values for to get the values for as follows
0 | 1 | 3 | |
3 | 2 | 0 |
Find the points corresponding to
Putting different values on , we get different values of as follows
0 | 2 | 4 | |
4 | 2 | 0 |
plotting the points on a graph ,we get graphical representation of the situation as given below.