Whats three consecutive even integers whose sum is 54?
2 Answers
16, 18, 20
Explanation:
To get to the next even number you have to 'jump over' an odd number. So every second number is even if you start from one.
Let the first even number be
Adding these up (their sum) we have:
Their sum is
Subtract 6 from both sides
Divide both sides by 3
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First number
Second number
Third number
Explanation:
Let
We can write the problem as:
Add like terms:
Rearrange and solve for
Therefore our three consecutive even integers are