Question

Mrs. simms told her class to find two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer.
a. write and solve an equation to find the integers.
b. does the equation have one solution, no solutions, or is it an identity? explain.

Answer 1

X = lesser 
x+2 = next even integer; the greater integer 

twice the lesser of the two intergers is 2•x 
the word is means equal 
4 less than 2 times the greater integer 

EQUATION: 2x = 2(x+2)-4 
2x = 2x+4-4 
2x = 2x 
x = 0 ANSWER 
x=2 = 0+2 = 2 ANSWER.

The equation has one solution because any two conseculive number can give you and answer that always 4 less than two times the greater interger.