Respuesta :

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

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