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:
[tex]3D-4=5\cdot(D-4)[/tex]
Now let us solve our equation to find Daniel's present age.
[tex]3D-4=5D-20[/tex]
[tex]-4+20=5D-3D[/tex]
[tex]16=2D[/tex]
[tex]D=\frac{16}{2}=8[/tex]
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.
[tex]\text{Kevin's present age}=8\cdot3=24[/tex]
Therefore, Kevin is 24 years old now.
Answer:
Daniel is 8 years old
Step-by-step explanation:
