amandamersch amandamersch
  • 27-10-2020
  • Mathematics
contestada

the sum of 3 consecutive integers is 60. what are the values of the three integers

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jonesjrroberte jonesjrroberte
  • 27-10-2020
Three consecutive integers can be written as x, x + 1, and x + 2

There’s sums result in:

x + x + 1 + x + 2 = 60

Combine like terms:

3x + 3 = 60

Solve for x:

Subtract 3 from both sides:

3x + 3 - 3 = 60 -3

3x = 57

Divide by 3

3x/3 = 57/3

x = 19

Substitute 19 in for x in three equations for the consecutive numbers:

19
19 + 1
19 + 2

This gives the answer as:

19,20,21
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