shazidrahamanshoyad
shazidrahamanshoyad shazidrahamanshoyad
  • 29-05-2020
  • Mathematics
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For a certain integer n, 5n+16 and 8n+29 have a common factor larger than 1 . Find the common factor.

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Ultroid Ultroid
  • 29-05-2020

This common factor must also divide the quantity [tex]5(8n+29)-8(5n+16)=\boxed{17}.[/tex] Since 17 is prime, that is indeed the answer.

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