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Three consecutive integers are n, n+1, and n+2.
Four times the sum of the least and greatest integers is 12 less than three times the least integer. What is the last integer?

Sagot :

The value of the least integer is -5

What are integers?

Integers are simply known as the collection of whole numbers and negative numbers.

From the information given, we have that:

  • The three consecutive integers are n, n+1, and n+2
  • Four times the sum of the least and greatest integers is 12 less than three times the least integer

This can be expressed as;

4 ( n + (n + 2) = (n + 1) - 12

expand the bracket

4 ( n + n + 2) = 3 (n) - 12

4( 2n + 2 ) = 3n - 12

8n + 8 = 3n - 12

collect like terms

8n - 3n = - 12 - 8

5n = -20

Make 'n' the subject

n = -20/ 5

n = -4

Thus, the value of the least integer is -5

Learn more about integers here:

https://brainly.com/question/17695139

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