In eight years Henry will be three times the age that Sally was last year. Twenty five years ago their ages added to $83$. How old is Henry now?
1. Let Henry's current age be \( h \) and Sally's current age be \( s \).

2. According to the problem, in eight years, Henry will be three times the age that Sally was last year. This can be written as:
   \[
   h + 8 = 3(s - 1)
   \]

3. Simplify the equation:
   \[
   h + 8 = 3s - 3
   \]
   \[
   h = 3s - 11
   \]

4. The problem also states that twenty-five years ago, their ages added up to 83. This can be written as:
   \[
   (h - 25) + (s - 25) = 83
   \]

5. Simplify the equation:
   \[
   h + s - 50 = 83
   \]
   \[
   h + s = 133
   \]

6. Substitute \( h = 3s - 11 \) from step 3 into the equation \( h + s = 133 \):
   \[
   (3s - 11) + s = 133
   \]
   \[
   4s - 11 = 133
   \]
   \[
   4s = 144
   \]
   \[
   s = 36
   \]

7. Substitute \( s = 36 \) back into \( h = 3s - 11 \):
   \[
   h = 3(36) - 11
   \]
   \[
   h = 108 - 11
   \]
   \[
   h = 97
   \]

The final answer is \(\boxed{97}\).