Question

Find the 3 consecutive even numbers whose sum is 186

Answer 1

Answer:

61 , 62 , 63

Step-by-step explanation:

Here we will use algebra to find three consecutive integers whose sum is 186.

We assign X to the first integer. Since they are consecutive, it means that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 186. Therefore, you can write the equation as follows:

X + X + 1 + X + 2 = 186

To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 186

3X + 3 = 186

3X + 3 - 3 = 186 - 3

3X = 183

3X/3 = 183/3

X = 61

Which means that the first number is 61, the second number is 61+1 and third number is 61+2. Therefore, three consecutive integers that add up to 186 are:

61

62

63