Question

The sum of two consecutive even integers is 226. What is the larger integer?

114

116

112

118

Answer 1

114

Answer 2

\[\frac{226}{2}+1\]

Answer 3

how

Answer 4

the average of the two even numbers will be 226/2

the average is directly between the two even numbers

so the smaller number is (226/2)-1 and the larger is (226/2)+1

Answer 5

let x be the smaller integer. since it's consecutive even integer then the larger number would be x+2. then you'll have the equation, x+x+2=226. transposing 2 to the right side and combining the variables you'll have 2x=226-2. you'll get x as 112. since you're looking for the larger number, then you'll have x+2=112+2+114

Answer 6

112+2=114 rather