Step-by-step explanation:
Given that,
Sum of the digits of a two digit number is 9
<em>So, Let we assume that </em>
Thus,
<em>According to statement </em>
When we interchange the digits, it is found that the resulting new number is greater than the original number by 27.
So,
<em><u>Thus, 2 digit number is 36</u></em>
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<h2>Basic Concept Used :- </h2>
Writing System of Linear Equation from Word Problem.
1. <em>Understand the problem. </em>
Understand all the words used in stating the problem.
Understand what you are asked to find.
2. <em>Translate the problem to an equation. </em>
Assign a variable (or variables) to represent the unknown.
Clearly state what the variable represents.
3. <em>Carry out the plan and solve the problem.</em>