markellwatson10 markellwatson10
  • 23-04-2020
  • Mathematics
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A larger number is five more than twice a smaller number. Thier sum is 80. Find the number.

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iamathing
iamathing iamathing
  • 23-04-2020

Answer:

Larger number: 55

Smaller number: 25

Step-by-step explanation:

First use the problem to write out an equation

[tex](5+2x)+x=80[/tex]

then solve for x

[tex]2x+x=75[/tex]

[tex]3x=75[/tex]

[tex]x=25[/tex]

so 25 would be the smaller number, or x

to find the larger number, put 25 as x in [tex]5+2x[/tex]

[tex]5+2(25)[/tex]

[tex]5+50=55[/tex]

55 would be the larger number

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