The sum of two numbers is 193 and the difference is 19. What are the two numbers?

The numbers are 87 and 106

Step-by-step explanation:

x + y = 193

x - y = 19

Add y to both sides of the equation

x = 19 + y

Substitute new value for x into first equation

19 + y + y = 193

Add y's together

19 + 2y = 193

Subtract 19 from both sides of the equation

2y = 174

Divide both sides of the equation by 2

y = 87

193 - 87 = 106

The numbers are 87 and 106

Hope this helps :)

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

the answer is 13/48

step-by-step explanation: