Three consecutive even numbers have a sum between 84 and 96. Write an inequality to find the three numbers. Let n represent the smallest even number. Solve the inequality

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Mathematics

6 October, 11:08

Three consecutive even numbers have a sum between 84 and 96. Write an inequality to find the three numbers. Let n represent the smallest even number. Solve the inequality

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Aryana Barrera · Answer 1

The numbers are: n, (n+2) and (n+4);

we can suggest this inequation:

84
Now, we solve this inequation:

84
84<3n+6<96

1)

3n+6>84

3n+6-6>84-6

3n>78

3n/3>78/3

n>26

2)

3n+6<96

3n+6-6<96-6

3n<90

3n/3<90/3

n<30

The solution is:

26
Then: n=28

The numbers will be: 28,30 and 32.