37

 PAGE: 101 SET: Exercises PROBLEM: 37

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

Let be the first even integer and be the next consecutive even integer.

Solve the equation.

(Original equation)

(Distributive property: )

(Simplify)

(Subtract  from each side)

(Apply additive inverse property : )

(Divide each side by )

(Cancel common terms)

The first integer is .

Second integer is .

Therefore, the two consecutive even integers are and .

The consecutive even integers are and .

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