MATH SOLVE

2 months ago

Q:
# Kevin is 3 times as old as Daniel, 4 years ago, Kevin was 5 times as old as Daniel. How old is Kevin

Accepted Solution

A:

K = Kevin's age

D = Daniel's age

K = 3D

K - 4 = 5(D - 4)

Plug in 3D for the K values in the second equation.

3D - 4 = 5(D - 4) Use the Distributive Property

3D - 4 = 5D - 20 Add 4 to both sides

3D = 5D - 16 Subtract 5D from both sides

-2D = -16 Divide both sides by -2

D = 8

Now, plug that D value into the original equation.

K = 3D Plug in the D value

K = 3(8) Multiply

K = 24

4 years ago, Daniel would've been 4 and Kevin would be 20, so Kevin would've been 5 times as old as Daniel. And 8 x 3 = 24. Therefore, the answer to your query is that Kevin is 24 years old. Hope this helped and have a great day!

D = Daniel's age

K = 3D

K - 4 = 5(D - 4)

Plug in 3D for the K values in the second equation.

3D - 4 = 5(D - 4) Use the Distributive Property

3D - 4 = 5D - 20 Add 4 to both sides

3D = 5D - 16 Subtract 5D from both sides

-2D = -16 Divide both sides by -2

D = 8

Now, plug that D value into the original equation.

K = 3D Plug in the D value

K = 3(8) Multiply

K = 24

4 years ago, Daniel would've been 4 and Kevin would be 20, so Kevin would've been 5 times as old as Daniel. And 8 x 3 = 24. Therefore, the answer to your query is that Kevin is 24 years old. Hope this helped and have a great day!