The sum of 3 consecutive even numbers is 270. What is the first number in this sequence?

Solution:

It is given that

Sum of 3 consecutive even numbers = 270

Let us consider the numbers as x, x + 2 and x + 4

We can write it as

x + x + 2 + x + 4 = 270

By further calculation

3x + 6 = 270

So by subtraction

3x = 270 - 6

3x = 264

Divide both sides by 3

x = 88

First number = x = 88

Second number = x + 2 = 88 + 2 = 90

Third number = x + 4 = 88 + 4 = 92

Therefore, the first number is 88.

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The sum of 3 consecutive even numbers is 270. What is the first number in this sequence?

Summary:

The sum of 3 consecutive even numbers is 270. The first number in this sequence is 88.