Question

The sum of two consecutive integers is no more than 209. What is the larger of the two integers?

Answer 1

105 is your answer

Explanation:

Let the two consecutive integers be: x , x + 1

Set the equation

x + x + 1 = 209

Simplify. Combine like terms.

(x + x) + 1 = 209

2x + 1 = 209

Isolate the x. Note the equal sign, what you do to one side, you do to the other.

Subtract 1 from both sides

2x + 1 (-1) = 209 (-1)

2x = 209 - 1

2x = 208

Isolate the x. Divide 2 from both sides

(2x)/2 = (208)/2

x = 208/2

x = 104

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Plug in 104 for x.

(x + 1) = (104) + 1 = 105

105 is your answer

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