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If father is twice as old as his son and also 29 years older than his son. what is the age of the father?
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If father is twice as old as his son and also 29 years older than his ...
Understanding the Problem
To solve the problem, we need to establish a relationship between the ages of the father and the son. We have two pieces of information:
- The father is twice as old as his son.
- The father is also 29 years older than his son.
Setting Up the Equations
Let's denote the age of the son as "S" and the age of the father as "F".
- From the first statement, we can write the equation:
- F = 2S
- From the second statement, we can write:
- F = S + 29
Solving the Equations
Now we have two equations:
1. F = 2S
2. F = S + 29
Since both equations represent F (the father's age), we can set them equal to each other:
- 2S = S + 29
Now, we solve for S:
- Subtract S from both sides:
- 2S - S = 29
- S = 29
Finding the Father's Age
Now that we have the son's age, we can find the father's age:
- Using the first equation (F = 2S):
- F = 2 * 29
- F = 58
Conclusion
Thus, the age of the father is:
- 58 years old.
This conclusion follows logically from the relationships given in the problem, confirming that both statements hold true.
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If father is twice as old as his son and also 29 years older than his son. what is the age of the father?
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