Question

Part A

STRUCTURE Find two consecutive even integers such that twice the lesser of the two integers is 4 less than two times
the greater integer.
a. Write and solve an equation to find the integers.

Answer 1

0, 2 . . . . . (any pair of consecutive even integers)

Explanation:

You want a pair of consecutive even integers such that twice the lesser is 4 less than two times the greater.

Setup

Let x represent the lesser of the two even integers. Then the greater is (x+2) and the given relation is ...

2x = 2(x+2) -4

Solution

Simplifying gives ...

2x = 2x +4 -4

2x = 2x . . . . . . . true for any even integer x

Any pair of consecutive even integers will satisfy the relation.

one such pair is 0, 2

check: 2(2) -4 = 2(0)