Question

The sum of three consecutive even integers is 186. Find the Integers.

Answer 1

60, 62, 64

Explanation:

Let x, (x + 2) & (x+ 4) be three consecutive even integers.

`\therefore \: x + (x + 2) + (x + 4) = 186 \\ \therefore \:3x + 6 = 186 \\ \therefore \:3x = 186 - 6 \\ \therefore \:3x = 180 \\ \therefore \:x = (180)/(3) \\ \therefore \:x = 60 \\ \implies \\ x + 2 = 60 + 2 = 62 \\ x + 4 = 60 + 4 = 64`

Hence, the three consecutive even integers are 60, 62 and 64.