The sum of two numbers is 36. the smaller number is 20 less than the larger number. what are the numbers

smaller number = 8, larger number = 28

Step-by-step explanation:

Let x=smaller number, so x+20

Is the larger number.

The sum of both numbers must equal 36, so x + (x + 20) = 36; 2x + 20 = 36; now subtract 20 from both sides and you have 2x= 16; divide both sides by 2 and you have x = 8, so this is the smaller number. The bigger number is 8 + 20 = 28, and when you add them together you get 36

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