Question

Help!! 20 points and brainly!!

The sum of three consecutive even integers is 84. What is the smallest of these integers.

Answer 1

Answer:

26

Step-by-step explanation:

Let x be the first even integer

x+2 is the second even integer

x+4  is the third even integer

The sum of three consecutive even integers is 84

x+ (x+2) + (x+4) =84

Combine like terms

3x +6 = 84

Subtract 6 from each side

3x+6-6 =84-6

3x =78

Divide each side by 3

3x/3 = 78/3

x =26

The three integers are 26, 28,30

The smallest is 26

Answer 2

Let the consecutive integers be x, x+1 and x+2.
By the question,
x+x+1+x+2 = 84
Or, 3x+3 = 84
Or, 3(x+1) = 84
Or, x+1 = 84/3
Or, x+1 = 28
Or, x= 28-1
.•. x= 27,,

Hence the smallest integer is 27,,