Answer:
10, 12, 14
Step-by-step explanation:
Hi there!
Let x be equal to the smallest integer.
Let (x+2) be equal to the next even integer.
Let (x+4) be equal to the largest even integer out of the three.
We're given:
⇒ smallest number + (2 × middle number) = 20 + largest number
Construct an equation:
[tex]x+2(x+2)=20+(x+4)[/tex]
Combine like terms:
[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]
Therefore, the smallest integer is 10, making the next two even integers 12 and 14.
I hope this helps!
