Respuesta :

Answer:

[tex]let \: two \: consecutive \: even \: no. \: be \: x \: and \: x + 2[/tex]

[tex]x + x + 2 = \red{58}[/tex]

[tex]2x + 2 = \red {58}[/tex]

[tex]2x = \red{ 58 - 2}[/tex]

[tex]x = \red { \frac{56}{2} }[/tex]

[tex]x = \red{ 28}[/tex]

Answer: 28 and 30

Step-by-step explanation:

Consecutive even numbers are even  numbers  which follow each other in order, without gaps, from smallest to largest.

Let the numbers be :

[tex]x[/tex] and [tex]x+2[/tex]

Therefore:

[tex]x+x+2=58[/tex]

we have :

[tex]2x+2=58[/tex]

subtract 2 from both sides

[tex]2x = 58-2[/tex]

[tex]2x = 56[/tex]

Divide both sides by 2

[tex]x = 28[/tex]

therefore , the second number will be [tex]28+2[/tex] , which will be [tex]30[/tex]

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