Three consecutive multiples of 2 is 36 then the multiples are​

A multiple of 3 can be written 3n where n is a positive integer.

So 3 consecutive multiples of 3 can be written

3n,3n+3,3n+6

The sum of these is 36

3n+3n+3+3n+6=36

9n+9=36

Divide through by 9

n+1=4

n=3

If n=3 then 3n=9 and the three consecutive multiples of three are 9, 12 and 15 which do indeed total 36

Step-by-step explanation:

Hope it is helpful

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is