payamkowsalyabiksam
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  • 14-09-2020
  • Mathematics
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the sum of two consecutive even number's is 66. find the numbers. ​

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Estellia
Estellia Estellia
  • 14-09-2020

Answer:

[tex]32\ and\ 34.[/tex]

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

[tex]x+x+2=66[/tex]

[tex]2x+2=66[/tex]

Subtract 2 from both sides:

[tex]2x+2-2=66-2[/tex]

[tex]2x=64[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{64}{2}[/tex]

[tex]x=32[/tex]

The smaller number is 32.

Larger number [tex]=32+2=34[/tex]

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