Question

I really need this explained to me.
The sum of two consecutive even integers is 234. What is the larger integer?

Answer 1

An even integer is one that can be divided by 2.

Answer 2

2x is always even.

Answer 3

consecutive even integers are integers like: 2, 4, 6, 8, 10, 12, 14
they are whole numbers that are even that are right next to each other


let x be the first integer

the next consecutive even integer is x+2


add the two up to get

x+(x+2)

x+x+2

2x+2


then set this equal to 234 to get

2x+2 = 234

now solve for x

Answer 4

@jim_thompson5910 x=115?

Answer 5

2x+2 = 234

2x+2-2 = 234-2

2x = 232

x = ???

Answer 6

x is even by the way

Answer 7

x=116?

Answer 8

so if x = 116, then x+2 = ???

Answer 9

x+2=118

Answer 10

so 118 is your final answer

Answer 11

@jim_thompson5910 thanks for all your help!

Answer 12

you're welcome