Please help. 2 years ago, age of brother was 3 times less than sister's age. this year his age is just 2 times less than his sister's. how old is brother? how old is sister?

The sister's age is 8 and the brother's age is 4

Step-by-step explanation:

Let's make:

x = age of the brother

y = age of the sister

x - 2 = age of the brother two years ago

y - 2 = age of the sister two years ago

Two years ago, the age of the sister was three times greater than the age of the brother:

y - 2 = 3(x - 2)

Now, the relation doubles:

y = 2x

Substituting in the first equation:

2x - 2 = 3(x - 2)

Operating:

2x - 2 = 3x - 6

Subtracting 3x -2:

2x - 3x = 2 - 6 = -4

Solving:

x = 4

y =2x = 8

The sister's age is 8 and the brother's age is 4

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.