$\"\"$

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Three times the lesser of two consecutive even integers is $\"\"$ less than six times the greater number.

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Let $\"\"$ be the first even integer and $\"\"$ be the next consecutive even integer.

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Solve the equation.

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$\"\"$ (Original equation)

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property : $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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The first integer $\"\"$ is $\"\"$ .

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Second integer $\"\"$ is $\"\"$ .

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Therefore, the two consecutive even integers are $\"\"$ and $\"\"$ .

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$\"\"$

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The consecutive even integers are $\"\"$ and $\"\"$ .