His age 15 years from now will be x+15.
Three times his age 5 years ago is 3(x-5).
If both are equal, we can write:
[tex]x+15=3(x-5)[/tex]The equation representing William's claim is x+15 = 3(x-5).
We can calculate its present age as:
[tex]\begin{gathered} x+15=3(x-5) \\ x+15=3x-15 \\ x-3x=-15-15 \\ -2x=-30 \\ x=\frac{-30}{-2} \\ x=15 \end{gathered}[/tex]His actual age is 15 years.
Answer:
The equation representing William's claim is x+15 = 3(x-5).
His actual age is 15 years.