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Answer:
The answer to your question is: 105
Step-by-step explanation:
For this problem we have to find to integers that when we sum them the result not be larger than 209. So, we need to write an equation to find them.
The integers we are looking for are:
The lower number = x
The larger number = x +1 because they are consecutive
The equation would be
(x) + (x+1) = 209 and we solve it
x + x +1 = 209
2x = 209 - 1
2x = 208
x = 208/2
x = 104 the lower number
Then the larger number is: x + 1 = 104 + 1 = 105
The integers are 104 and 105.
What is Algebra?
Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Algebraic Expressions
An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
sum of two consecutive integers is no more than 209.
let the two consecutive integers be x and x+1.
(x) + (x+1) = 209
x + x +1 = 209
2x = 209 - 1
2x = 208
x = 208/2
x = 104
Thus, larger number is: x + 1 = 104 + 1 = 105
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