The sum of two consecutive even integers is 50. What are the numbers?

2 Answers

First even #=24#
Second even #=26#

Explanation:

let #2x# be the first even integer
let #2x+2# be the second even integer

#2x+(2x+2)=50#

#4x=48#

#x=12#

First even integer

#2x=2(12)=24#

Second even integer

#2x+2=2(12)+2=26#

God bless....I hope the explanation is useful.

Jul 14, 2016

#24, 26#

Explanation:

Note that even integers occur after every odd integer (#color(blue)(6)#, 7, #color(blue)(8)#). Let's write an equation.

One integer can be #n#. The other one must be #n + 2# since an even integer occurs every two numbers.

#n + (n+2) = 50#

This is our equation. We need to solve for #n#.

#2n + 2 = 50#

#2n = 48#

#n = 24#

We found that #n# is #24#. This means that the other even integer, #n+2#, is #26#. We can go ahead and add these values to see if it equals #50#.

#24 + 26 = 50#

It does equal #50#, so our numbers are correct.