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The problem states:

- 5 years ago, Mr. Jones was 4 times as old as his daughter.
- The sum of their present ages is 55 years.

Let’s define:
- \( x \) = Mr. Jones' current age.
- \( y \) = His daughter's current age.

From the information given:
1. **5 years ago**: Mr. Jones was 4 times his daughter's age.
   - This gives the equation: 
   \[
   x - 5 = 4(y - 5)
   \]
2. **Present ages sum to 55**:
   - This gives the second equation:
   \[
   x + y = 55
   \]

Now, let's solve the system of equations.

### Step 1: Solve the first equation.
\[
x - 5 = 4(y - 5)
\]
Expand:
\[
x - 5 = 4y - 20
\]
Simplify:
\[
x = 4y - 15
\]

### Step 2: Use the second equation \( x + y = 55 \).
Substitute \( x = 4y - 15 \) into the second equation:
\[
(4y - 15) + y = 55
\]
Simplify:
\[
5y - 15 = 55
\]
Add 15 to both sides:
\[
5y = 70
\]
Solve for \( y \):
\[
y = 14
\]

### Step 3: Find \( x \) (Mr. Jones' current age).
Substitute \( y = 14 \) into \( x = 4y - 15 \):
\[
x = 4(14) - 15 = 56 - 15 = 41
\]

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

Would you like further details or have any questions?

Here are 5 related questions:
1. How old was Mr. Jones when his daughter was born?
2. If 10 years pass, what will be the ratio of Mr. Jones' age to his daughter's age?
3. What would the equation look like if Mr. Jones were 3 times as old as his daughter 10 years ago?
4. What is the sum of their ages 10 years from now?
5. How old was Mr. Jones 5 years before his daughter was born?

**Tip**: When solving age-related word problems, clearly define the variables and construct equations step by step for clarity.

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 this age-related word problem where Mr. Jones was 4 times as old as his daughter 5 years ago, and the sum of their present ages is 55 years. This step-by-step solution covers algebraic concepts such as systems of equations. Suitable for students in Grades 6-8.

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