High School

The greater of two consecutive even integers is eleven more than half the lesser. What are the integers?

Answer :

The two consecutive even integers can be represented as x and x+2, where x is the lesser integer.

What is the relationship between two consecutive even integers in terms of their values?

When dealing with consecutive even integers, we can represent them as x and x+2, where x represents the lesser integer. According to the given information, the greater integer (x+2) is eleven more than half the lesser integer (x/2 + 11). Mathematically, this relationship can be expressed as:

x + 2 = (x/2) + 11

By solving this equation, we can determine the value of x, which represents the lesser integer. Once x is known, the greater integer can be found by adding 2 to x. This allows us to identify the specific consecutive even integers that satisfy the given condition.

Learn more about Integers

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