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Andy, Mark and Sean all have their birthdays today, but Andy is more than twice as old as Mark and Mark is than four years older than Sean. If Andy is less than 16 years old, what is one possible value for Mark's age years?
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Andy, Mark and Sean all have their birthdays today, but Andy is more t...
Understanding the Problem
To find Mark's age given the relationships between the ages of Andy, Mark, and Sean, we start by defining their ages based on the conditions provided.
Define Ages
- Let Sean's age be represented as S.
- Since Mark is four years older than Sean, we have:
- Mark's age (M) = S + 4
- Andy is more than twice as old as Mark:
- Andy's age (A) > 2M
- The additional condition specifies that Andy is less than 16 years old:
- A < />
Setting Up the Equations
Now, substituting Mark's age into Andy's age equation:
- A > 2(S + 4)
- A < />
Finding Possible Ages
1. From A < 16,="" we="" can="" />
- 2(S + 4) < />
- Simplifying gives:
- S + 4 < />
- S < />
2. Since Sean's age must be a positive integer, the possible ages for Sean (S) are 1, 2, or 3.
Calculating Mark's Age
Now, let's compute Mark's age for the possible values of Sean's age:
- If S = 1, then M = 1 + 4 = 5
- If S = 2, then M = 2 + 4 = 6
- If S = 3, then M = 3 + 4 = 7
Conclusion
Based on the above calculations, one possible value for Mark's age is:
- Mark's Age = 6 years (when Sean is 2 years old)
This satisfies all conditions: Andy is more than twice Mark's age and is less than 16 years old.
To find Mark's age given the relationships between the ages of Andy, Mark, and Sean, we start by defining their ages based on the conditions provided.
Define Ages
- Let Sean's age be represented as S.
- Since Mark is four years older than Sean, we have:
- Mark's age (M) = S + 4
- Andy is more than twice as old as Mark:
- Andy's age (A) > 2M
- The additional condition specifies that Andy is less than 16 years old:
- A < />
Setting Up the Equations
Now, substituting Mark's age into Andy's age equation:
- A > 2(S + 4)
- A < />
Finding Possible Ages
1. From A < 16,="" we="" can="" />
- 2(S + 4) < />
- Simplifying gives:
- S + 4 < />
- S < />
2. Since Sean's age must be a positive integer, the possible ages for Sean (S) are 1, 2, or 3.
Calculating Mark's Age
Now, let's compute Mark's age for the possible values of Sean's age:
- If S = 1, then M = 1 + 4 = 5
- If S = 2, then M = 2 + 4 = 6
- If S = 3, then M = 3 + 4 = 7
Conclusion
Based on the above calculations, one possible value for Mark's age is:
- Mark's Age = 6 years (when Sean is 2 years old)
This satisfies all conditions: Andy is more than twice Mark's age and is less than 16 years old.
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Andy, Mark and Sean all have their birthdays today, but Andy is more than twice as old as Mark and Mark is than four years older than Sean. If Andy is less than 16 years old, what is one possible value for Mark's age years?
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Andy, Mark and Sean all have their birthdays today, but Andy is more than twice as old as Mark and Mark is than four years older than Sean. If Andy is less than 16 years old, what is one possible value for Mark's age years? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Andy, Mark and Sean all have their birthdays today, but Andy is more than twice as old as Mark and Mark is than four years older than Sean. If Andy is less than 16 years old, what is one possible value for Mark's age years? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Andy, Mark and Sean all have their birthdays today, but Andy is more than twice as old as Mark and Mark is than four years older than Sean. If Andy is less than 16 years old, what is one possible value for Mark's age years?.
Andy, Mark and Sean all have their birthdays today, but Andy is more than twice as old as Mark and Mark is than four years older than Sean. If Andy is less than 16 years old, what is one possible value for Mark's age years? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Andy, Mark and Sean all have their birthdays today, but Andy is more than twice as old as Mark and Mark is than four years older than Sean. If Andy is less than 16 years old, what is one possible value for Mark's age years? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Andy, Mark and Sean all have their birthdays today, but Andy is more than twice as old as Mark and Mark is than four years older than Sean. If Andy is less than 16 years old, what is one possible value for Mark's age years?.
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