stacey68 stacey68
  • 20-10-2019
  • Mathematics
contestada

The sum of three consecutive numbers is 477. What is the 3rd number?

Respuesta :

jimrgrant1 jimrgrant1
  • 20-10-2019

Answer:

160

Step-by-step explanation:

Consecutive numbers have a difference of 1 between them.

Let n be the first number then n + 1 and n + 2 are the second and third numbers. Summing them gives

n + n + 1 + n + 2 = 477, that is

3n + 3 = 477 ( subtract 3 from both sides )

3n = 474 ( divide both sides by 3 )

n = 158

The 3 consecutive numbers are 158, 159, 160

The third number is 160

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