Answer:
In assumption, x is the smaller even integer and x+2 is the next so it will be larger.
The integers are 4 and 6
Step-by-step explanation:
Let the two consecutive even integers be x and x+2
Here x is the smaller even integer and x+2 is the next so it will be larger.
Now according to the given statement
Sum of both: [tex]x+x+2[/tex]
difference of 3 times the larger & 2 times the smaller:[tex]3(x+2)-2x[/tex]
Putting the sum and difference equal:
[tex]x+x+2 = 3(x+2)-2x[/tex]
Solving the equation
[tex]2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4[/tex]
The next integer will be:
[tex]x+2 = 4+2 = 6[/tex]
Hence,
In assumption, x is the smaller even integer and x+2 is the next so it will be larger.
The integers are 4 and 6.
