Answer:
The smallest even number is 14
Step-by-step explanation:
Let's assume smallest number =x
Since, there are three consecutive even numbers
so, largest number will be x+2+2=x+4
four times the largest is seven times the smallest decreased by 26 units
so, we can set up equation as
[tex]4\times (x+4)=7\times x-26[/tex]
now, we can solve for x
[tex]4x+16=7x-26[/tex]
[tex]4x=7x-42[/tex]
[tex]-3x=-42[/tex]
[tex]\frac{-3x}{-3}=\frac{-42}{-3}[/tex]
[tex]x=14[/tex]
So,
the smallest even number is 14........Answer
