danaleticia
danaleticia danaleticia
  • 12-10-2016
  • Mathematics
contestada

La suma de tres números enteros impares consecutivos es 45 ¿cuales son los números?

Respuesta :

ritasingal
ritasingal ritasingal
  • 12-10-2016
Answer:

13, 15, 17

Explanation:

Consider three consecutive odd integers (2n−1),(2n+1),(2n+3)
Where n is Integer?

If the sum of these odd integers is 45, 
Then: (2n−1)+(2n+1)+(2n+3)=45
6n+3=45
6n=42
n=7

Substituting n=7 into (2n−1),(2n+1),(2n+3)
Gives 13, 15, 17

To check: 13+15+17=45

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