amee25 amee25
  • 23-02-2022
  • Mathematics
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One number is 20 more than two times another. Find the two numbers if their sum is 110.

One number is 20 more than two times another Find the two numbers if their sum is 110 class=

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carosm12 carosm12
  • 23-02-2022

Answer:

30, 80

Step-by-step explanation:

Let the smaller number be [tex]x[/tex]. Then, the other number is [tex]2x+20[/tex]. The sum is 110, so

[tex]x+(2x+20)=110.[/tex]

Simplifying gives

[tex]3x+20=110[/tex].

Subtracting 20 from both sides gives

[tex]3x=90[/tex].

Dividing by 3 gives

[tex]x=30[/tex].

The smaller number is 30 and the larger number is 2(30)+20=80.

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