Question

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

Answer 1

If n = smallest even number, then n +2 and n + 4 are the other two numbers.

84 < n + (n+2) + (n+4) < 96

I'll let you solve it for n.

Answer 2

84, 90,96

Answer 3

how did you know it was 2 and 4

Answer 4

Hi, you would know because since it has to be an even number, you have to add by 2. But you cant do 2 twice because you have to have different numbers, therefore you go to the next possible even, by adding 4 instead of 2.