The sum of two consecutive integers is 229. Let x represent the first integer. Then x + 1 represents the second integer. You can then write the equation: x + (x + 1) = 229 What is the value of the second integer?

115

Step-by-step explanation:

Solve the given formula for x

x + (x + 1) = 229

x + x + 1 = 229 (drop the parenthesis since it's addition)

2x + 1 = 229 (combine like terms)

2x = 228 (subtract 1 from both sides)

x = 114 (divide both sides by 2)

114 is the smaller integer, so 114 + 1 = 115 is the larger integer