hilaryluevano2005
hilaryluevano2005 hilaryluevano2005
  • 14-03-2019
  • Mathematics
contestada

The sum of two numbers is 53. The smaller number is 17 less than the larger number. What is the number?

Respuesta :

KellyAstro
KellyAstro KellyAstro
  • 14-03-2019

Answer: The smaller number is 18

Step-by-step explanation: I set up an equation~

[tex]n+(n-17)=53[/tex]

Solve -

Remove the parentheses and compare the like terms

[tex]2n-17=53[/tex]

Add 17 to both sides

[tex]70=2n[/tex]

Divide both sides by 2

[tex]n=35[/tex]

  • Great!  Now we know the larger number is 35. Now just subtract 17 from 35 to get your answer of 18.

Check your answer  -

[tex]35+18=53[/tex]

So this is correct.

  • Hope this helped!~
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