nocljdugel nocljdugel
  • 18-05-2017
  • Mathematics
contestada

Three consecutive natural numbers have a sum of 93. what is the greatest number?

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bcalle
bcalle bcalle
  • 21-05-2017
When getting from one consecutive number to another you have to add 1.
Ex. 4,5,6; to get from 4 to 5; 4 + 1 = 5; 4 + 2 = 6.
We set up the equation this same way except we don't know the starting point so we use x.
x + (x + 1) = (x + 2) = 93   Combine like terms
3x + 3 = 93                       Subtract 3 from both sides
3x = 90                             Divide both sides by 3
x = 30
x + 1 = 31
x + 2 = 32
The questions wants the greatest number so the answer is 32.
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