1. **State the problem:** A father is 36 years old and his daughter is 3 years old. We want to find in how many years the father will be exactly 4 times as old as his daughter.
2. **Set variables:** Let $x$ be the number of years from now when the father is 4 times as old as his daughter.
3. **Write the equation:** In $x$ years, the father's age will be $36 + x$ and the daughter's age will be $3 + x$. The condition is:
$$36 + x = 4(3 + x)$$
4. **Solve the equation:**
$$36 + x = 12 + 4x$$
Subtract $x$ from both sides:
$$36 = 12 + 3x$$
Subtract 12 from both sides:
$$24 = 3x$$
Divide both sides by 3:
$$x = 8$$
5. **Interpret the result:** In 8 years, the father will be exactly 4 times as old as his daughter.
**Final answer:** $8$ years.
Father Daughter Age 1Db7Bf
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