Question

Three consecutive even numbers has a sum of 90 what is the second consecutive even number

Answer 1

To find the second consecutive even number when the sum of three consecutive even numbers is 90, calculate it as the first number plus 2; in this case, the second number is 30.

Step-by-step explanation:

If three consecutive even numbers have a sum of 90, we can find the second consecutive even number with a simple arithmetic sequence since even numbers are two units apart. Let's denote the first even number as n, the second as n + 2, and the third as n + 4. The sum of these three numbers will give us:

n + (n + 2) + (n + 4) = 90

Combining like terms, we get:

3n + 6 = 90

Subtract 6 from both sides:

3n = 84

Now divide by 3:

n = 28

So the first even number is 28. Thus the second consecutive even number is n + 2, which is 28 + 2 = 30.