Using the concept of algebraic expression it can be concluded that the small number is 17 and the larger number is 28.
<h3>What are algebraic expressions?</h3>
In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.
Sum of two numbers = 45
Let the small number be x.
So, the larger number will be 11 + x.
As we know, sum of two numbers = 45
(x) + (x+11) = 45
2x + 11 = 45
Subtract 11 from the both sides of the answer to obtain:
2x + 11 - 11 = 45 - 11
2x = 34
Dividing both sides by 2.
x = 17
So, the small number is 17, therefore the larger number will x + 11 or 11 + 17 = 28.
Therefore, the smaller number is 17 and the larger number is 28.
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