Kate4llyannabou
Kate4llyannabou Kate4llyannabou
  • 02-08-2016
  • Mathematics
contestada

what is the least of seven consecutive integers whose sum equals 168

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 04-08-2016
Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5, x + 6: then
x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 168
7x + 21 = 168
7x = 168 - 21 = 147
x = 147/7 = 21

Therefore, the least of the seven numbers is x = 21
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