Question

The sum of three consecutive even integers is 210. What are the integers?

Answer 1

The three consecutive even integers that sum up to 210 are 68, 70, and 72. This was determined by setting up an algebraic equation where x, x + 2, and x + 4 represent the integers, and solving for x to get the first integer.

Step-by-step explanation:

The question asks for three consecutive even integers that sum up to 210. To find these integers, one can set up an algebraic expression where the first integer is x, the second is x + 2 (since even integers are two units apart), and the third is x + 4. The sum of these integers is expressed as x + (x + 2) + (x + 4).

Setting this sum equal to 210, we have:

1. x + x + 2 + x + 4 = 210
2. 3x + 6 = 210
3. 3x = 204
4. x = 68

So, the first integer is 68. The second and third integers thus are 68 + 2 = 70 and 68 + 4 = 72, respectively. Therefore, the three consecutive even integers that sum up to 210 are 68, 70, and 72.