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The sum of two consecutive even numbers is 270. What are the two numbers?
Mathematics
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Step-by-step solution
4 stepsDefine the two consecutive even numbers.
Let the first even number be .
Since the numbers are consecutive even numbers, the next even number will be .Set up the equation based on the given sum.
The sum of the two numbers is 270:
Solve the equation for .
Combine like terms:
Subtract 2 from both sides:
Divide by 2:
Find the two numbers.
The first even number is .
The second consecutive even number is .The two numbers are .
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