Question

The sum of two consecutive integers is no more than 209. what is the larger of the two integers? enter your answer in the box.

Answer 1

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

Answer 2

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

Learn more about Algebra here:

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