For each question, Form an equation and solve it based on the information given.

1.) Separate the number 24 into 2 parts so that one number is twice the other number.

2.) Lynne is 4 years younger than her sister Tobbe. If the sum of their ages is 18, how old are Lynne and Tobbe?

1.  One part is 16 another part is 8

2.  

Lynne's age = 7 yrs

Tobbe's age = 11 years

Step-by-step explanation:

1.

Let first part be "x" and second part be "y"

We know first part is TWICE the second part, so we can write:

x = 2y

Also, both the parts sum to 24, so we can write:

x + y = 24

Now replacing 1st equation in 2nd, we can solve for y first:

x + y = 24

2y + y = 24

3y = 24

y = 8

Now, solving for x:

x = 2y

x = 2(8)

x = 16

One part is 16 another part is 8

2.

Let Lynne's age be x and Tobbe's age be y

We know:

Lynne is 4 years YOUNGER than Tobbe, so we can write:

x + 4 = y

And

Sum of their ages is 18, so we can write:

x + y = 18

Now, substituting 1st equation in 2nd, we solve for x first:

x + y = 18

x + x + 4 = 18

2x + 4 = 18

2x = 18 - 4

2x = 14

x = 7

Now, solving for y:

We know x + y = 18, so

7 + y = 18

y = 18 - 7

y = 11

Lynne's age = 7 yrs

Tobbe's age = 11 years

step-by-step explanation: