Hi

Let n represent that number

Question states***

 5n = (5/12)n + 1980

Solving for x

  (55/12)n = 1980

         n = 1980*12/55

         n = 432

CHECKING our Answer***

   5*432 = 2160 = 180 + 1980   

Answer by algebrahouse.com(1659)   (Show Source): You can put this solution on YOUR website!
 "5 times of a mystery number is 1980 more than 5/12

 of the same mystery number. Find the mystery number?"





x = mystery number





5x = (5/12)x + 1980 {5 times the number is 1980 more than 5/12 the number}

60x = 5x + 23,760 {multiplied entire equation by 12, to clear fraction}

55x = 23,760 {subtracted 5x from both sides}

x = 432 {divided both sides by 55}





432 is the mystery number

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