Two numbers differs by 5. the sum of twice the smaller and thrice the greater number is 20 .find the greater number

larger number is 6 and smaller number is 1.

Step-by-step explanation:

Let x be larger number and y be the smaller number

x-y=5 (difference of numbers is 5)

3x+2y=20 (3 times larger number+2 times the smaller number is 20)

Multiply x-y=5 by 2

2(x-y)=2*5

2x-2y=10

Solve both equations by elimination/add equations.

3x+2y=20

2x-2y=10

———————-

5x-0=30

x=30/5=6

Substitute x=6 in x-y=6 to get the value of y

6-y=5

y=6-5=1

So, larger number is 6 and smaller number is 1.

You check your answer by substituting the values of x and y in the equations and checking if it is a solution of the equation.

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