The sum of three consecutive numbers is 84. Write and solve a math expression in terms of n for the smallest of the three numbers. Include parentheses.

 Required expression :  

Smallest number = 27

Step-by-step explanation:

Let the three consecutive number be n-1 , n , n+1 .

Since , the sum of three consecutive numbers is 84.

Remove parenthesis

Simplify

Divide both sides by 3, we get

That means the three consecutive numbers would be (28-1) , 28 , (28+1)

i.e. 27 , 28 , 29.

Hence, the smallest number is 27.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have