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A mam is 5 times as old as his son.he will be tree times as old as his son in 10 years. find their present ages.?
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A mam is 5 times as old as his son.he will be tree times as old as his...
Understanding the Problem
To solve the problem, we need to define the variables for the current ages of the man and his son.
- Let the son's current age be S.
- Then, the man's current age will be 5S (since he is 5 times older than his son).
Setting Up the Equation
In 10 years, their ages will change as follows:
- Son's age in 10 years = S + 10
- Man's age in 10 years = 5S + 10
According to the problem, in 10 years, the man will be three times as old as his son:
- Equation: 5S + 10 = 3(S + 10)
Solving the Equation
Now, let’s simplify the equation:
- 5S + 10 = 3S + 30
- Rearranging gives us: 5S - 3S = 30 - 10
- This simplifies to: 2S = 20
- Therefore, S = 10
Now that we have the son's age, we can find the man's age:
- Man's age = 5S = 5 * 10 = 50
Conclusion
- The son's present age is:
- 10 years
- The man's present age is:
- 50 years
This solution shows that the man is currently 50 years old and his son is 10 years old, satisfying both conditions of the problem.
To solve the problem, we need to define the variables for the current ages of the man and his son.
- Let the son's current age be S.
- Then, the man's current age will be 5S (since he is 5 times older than his son).
Setting Up the Equation
In 10 years, their ages will change as follows:
- Son's age in 10 years = S + 10
- Man's age in 10 years = 5S + 10
According to the problem, in 10 years, the man will be three times as old as his son:
- Equation: 5S + 10 = 3(S + 10)
Solving the Equation
Now, let’s simplify the equation:
- 5S + 10 = 3S + 30
- Rearranging gives us: 5S - 3S = 30 - 10
- This simplifies to: 2S = 20
- Therefore, S = 10
Now that we have the son's age, we can find the man's age:
- Man's age = 5S = 5 * 10 = 50
Conclusion
- The son's present age is:
- 10 years
- The man's present age is:
- 50 years
This solution shows that the man is currently 50 years old and his son is 10 years old, satisfying both conditions of the problem.
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A mam is 5 times as old as his son.he will be tree times as old as his son in 10 years. find their present ages.?
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A mam is 5 times as old as his son.he will be tree times as old as his son in 10 years. find their present ages.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A mam is 5 times as old as his son.he will be tree times as old as his son in 10 years. find their present ages.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mam is 5 times as old as his son.he will be tree times as old as his son in 10 years. find their present ages.?.
A mam is 5 times as old as his son.he will be tree times as old as his son in 10 years. find their present ages.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A mam is 5 times as old as his son.he will be tree times as old as his son in 10 years. find their present ages.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mam is 5 times as old as his son.he will be tree times as old as his son in 10 years. find their present ages.?.
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