Question

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

Answer 1

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.

$3D-4=5D-20$

$-4+20=5D-3D$

$16=2D$

$D=\frac{16}{2}=8$

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.  

Answer 2

Answer:

Daniel is 8 years old

Step-by-step explanation: