Kevin is 333 times as old as Daniel. 444 years ago, Kevin was 555 times as old as Daniel. How old is Kevin now?

Question

asked Mar 25, 2019 86.2k views

2 Answers

Barry Solomon · Answer 1 · 2019-03-31T17:52:21+0000

Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.

We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.

We are told that 4 years ago Kevin was 5 times as old as Daniel. We can write this information as:

$3D-4=5\cdot(D-4)$

Now let us solve our equation to find Daniel's present age.

3D-4=5D-20

-4+20=5D-3D

16=2D

D=(16)/(2)=8

Daniel's present age is 8 years. Now we will multiply 8 by 3 to get Kevin's present age as Kevin is 3 times old as Daniel.

$\text{Kevin's present age}=8\cdot3=24$

Therefore, Kevin is 24 years old now.