Respuesta :

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!~