Reene And Dana

Question

Renee is twice as old as Dana, 4 years ago Renee was 3 times as old as Dana.

How old are Renee and Dana now?

Renee is ______
Dana is_______

Write an algebraic expression to tell how old Renee (R) is if Dana is (D) years old

Algebraic expression- _____________

Answer 1

Here's what we know:

r = 2d

r - 4 = 3(d - 4)

 

Since we have a value for r, we can put that into our equation:

2d - 4 = 3(d - 4)

Distribute:

2d - 4 = 3d - 12

Subtract 2d from both sides:

-4 = d - 12

Add 12 to both sides:

8 = d

 

Now that we know d, we can solve for r:

r = 2 * 8

r = 16

 

Now to check:

16 - 4 = 3 * (8 - 4)

12 = 3 * 4

12 = 12