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  • 23-09-2021
  • Mathematics
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Find three consecutive integers such that the sum of the first and third is 40

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ellaevw
ellaevw ellaevw
  • 23-09-2021

Answer:

The three consecutive integers are 19, 20, and 21. And 19 + 21 = 40.

Step-by-step explanation:

Let the first integer be x.

The next consecutive integer would be x + 1 and the next x + 2.

The equation for the sum of the first and third integer equaling 40 can then be written as:

x + (x + 2) = 40

Solving gives:

2x + 2 = 40

2x + 2 - 2 = 40 - 2

2x = 38

x = 19

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