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Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?
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Given Information:
- Two years ago, the father was five times as old as his son.
- Two years later, the father's age will be 8 years more than three times the age of the son.
Let's solve the problem step by step:
Step 1: Assign Variables
Let the present age of the son be S years.
Let the present age of the father be F years.
Step 2: Translate the Given Information into Equations
From the first statement, we have:
F - 2 = 5(S - 2) (Father was five times as old as his son two years ago)
From the second statement, we have:
F + 2 = 3(S + 2) + 8 (Father's age 2 years later will be 8 more than three times the age of the son)
Step 3: Solve the Equations
Now, we will solve the two equations simultaneously to find the present ages of the father and the son.
1. F - 2 = 5S - 10 (Expanding the first equation)
F = 5S - 8
2. F + 2 = 3S + 6 + 8 (Expanding the second equation)
F = 3S + 14
Now, equating both expressions for F:
5S - 8 = 3S + 14
2S = 22
S = 11
Step 4: Find the Present Ages
Substitute the value of S back into the first equation to find the father's present age:
F = 5(11) - 8
F = 55 - 8
F = 47
Conclusion:
The present age of the son is 11 years, and the present age of the father is 47 years.
- Two years ago, the father was five times as old as his son.
- Two years later, the father's age will be 8 years more than three times the age of the son.
Let's solve the problem step by step:
Step 1: Assign Variables
Let the present age of the son be S years.
Let the present age of the father be F years.
Step 2: Translate the Given Information into Equations
From the first statement, we have:
F - 2 = 5(S - 2) (Father was five times as old as his son two years ago)
From the second statement, we have:
F + 2 = 3(S + 2) + 8 (Father's age 2 years later will be 8 more than three times the age of the son)
Step 3: Solve the Equations
Now, we will solve the two equations simultaneously to find the present ages of the father and the son.
1. F - 2 = 5S - 10 (Expanding the first equation)
F = 5S - 8
2. F + 2 = 3S + 6 + 8 (Expanding the second equation)
F = 3S + 14
Now, equating both expressions for F:
5S - 8 = 3S + 14
2S = 22
S = 11
Step 4: Find the Present Ages
Substitute the value of S back into the first equation to find the father's present age:
F = 5(11) - 8
F = 55 - 8
F = 47
Conclusion:
The present age of the son is 11 years, and the present age of the father is 47 years.
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Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?
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Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?.
Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?.
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