perryhiler05 perryhiler05
  • 02-09-2020
  • Mathematics
contestada

The sum of three consecutive integers is 180. What is the largest integer?

Respuesta :

jcherry99
jcherry99 jcherry99
  • 03-09-2020

Answer:

61

Step-by-step explanation:

Here's a neat trick when you have an odd number of consecutive numbers.

Call the middle number k

Then the smaller number is k-1

The larger number is k + 1

The two ones will cancel.

k-1 + k + k-1 = 180

3k = 180

k = 180/3

k = 60

Therefore the largest number is k + 1 = 60 + 1 =61

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