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Let's solve the problem step by step.

Let:
- \( x \) be the current age of Mr. Jones,
- \( y \) be the current age of his daughter.

### Information Given:
1. **Five years ago**, Mr. Jones was 4 times as old as his daughter:
   \[
   x - 5 = 4(y - 5)
   \]
2. The sum of their current ages is 55:
   \[
   x + y = 55
   \]

### Step 1: Solve the system of equations

From the second equation, we can express \( x \) in terms of \( y \):
\[
x = 55 - y
\]

### Step 2: Substitute into the first equation

Now substitute \( x = 55 - y \) into the first equation:
\[
(55 - y) - 5 = 4(y - 5)
\]
Simplify:
\[
50 - y = 4(y - 5)
\]
\[
50 - y = 4y - 20
\]
Now, solve for \( y \):
\[
50 + 20 = 4y + y
\]
\[
70 = 5y
\]
\[
y = 14
\]

### Step 3: Find Mr. Jones' age

Now that we know the daughter's current age is \( 14 \), substitute it back into the equation \( x = 55 - y \):
\[
x = 55 - 14 = 41
\]

### Final Answer:
Mr. Jones is currently **41 years old**.

Would you like more details or explanations?

Here are 5 related questions to expand on this concept:
1. How would the solution change if Mr. Jones was 3 times as old as his daughter five years ago?
2. What if the sum of their present ages was 60 years?
3. How can you solve such problems graphically?
4. How would the equations change if this scenario happened 10 years ago instead of 5?
5. What if the age difference between Mr. Jones and his daughter was also given?

**Tip**: When solving systems of equations, it's often helpful to express one variable in terms of the other to reduce the system to a single equation.

Mr. Jones was 4 times as old as his daughter 5 years ago. How old is Mr. Jones now if the sum of their present ages is 55 years?

Learn how to solve an age word problem where Mr. Jones was 4 times as old as his daughter 5 years ago. Their current age sum is 55 years. Follow the step-by-step algebraic solution to find Mr. Jones' age.

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