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Diano4ka-milaya [45]
3 years ago
15

Three consecutive integers are n, n + 1, and n+ 2. Four time s the sun of the least and greatest integers is 12 less than three

times the least integer. What is the least integer? (Answer is -4 but I need to know how to do it)
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0
4 times the sum of the least and greatest integers ⇒ 4(n + n +2) = 4n + 8

12 less than three times the least integer ⇒ 3n - 12

4n + 8 = 3n - 12
4n -  3n + 8 = 3n - 3n - 12
n + 8 - 8 = -12 - 8
n = -20
-20, -19, -18 are the integers and the least is -20 
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