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12 years later A will be thrice as old as he was 4 years ago. B is 4/3 times as old as A who is 4 years older than C. What is the ratio of the age of B to that of C?
- a)2 : 1
- b)4 : 3
- c)3 : 2
- d)5 : 2
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
12 years later A will be thrice as old as he was 4 years ago. B is 4/3...
Age of A,
4 years ago = x, present = x + 4 and 12 years later = x + 16
x + 16 = 3x
x = 8
Present age of A = 12
Present age of C = 12 – 4 = 8
Reqd. ratio = 16 : 8 = 2 : 1
Hence, Option A is correct.
4 years ago = x, present = x + 4 and 12 years later = x + 16
x + 16 = 3x
x = 8
Present age of A = 12
Present age of C = 12 – 4 = 8
Reqd. ratio = 16 : 8 = 2 : 1
Hence, Option A is correct.
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Community Answer
12 years later A will be thrice as old as he was 4 years ago. B is 4/3...
Understanding the Problem
To solve the problem, we need to establish relationships between the ages of A, B, and C based on the information provided.
Step 1: Define the current ages
- Let A's current age be x years.
- Therefore, A's age 4 years ago was (x - 4) years.
- In 12 years, A will be (x + 12) years.
According to the problem statement:
Step 2: Set up the equation
- 12 years later, A will be thrice as old as he was 4 years ago:
x + 12 = 3(x - 4)
Solving this equation:
- x + 12 = 3x - 12
- 12 + 12 = 3x - x
- 24 = 2x
- x = 12
So, A's current age is 12 years.
Step 3: Find B's age
According to the problem:
- B is 4/3 times as old as A:
B = (4/3) * A = (4/3) * 12 = 16 years.
Step 4: Find C's age
We know that A is 4 years older than C:
- C = A - 4 = 12 - 4 = 8 years.
Step 5: Determine the ratio of B's age to C's age
Now that we have the ages:
- B = 16 years,
- C = 8 years.
To find the ratio of B's age to C's age:
- Ratio (B:C) = 16:8 = 2:1.
Conclusion
The ratio of the age of B to that of C is therefore 2:1, which corresponds to option 'A'.
To solve the problem, we need to establish relationships between the ages of A, B, and C based on the information provided.
Step 1: Define the current ages
- Let A's current age be x years.
- Therefore, A's age 4 years ago was (x - 4) years.
- In 12 years, A will be (x + 12) years.
According to the problem statement:
Step 2: Set up the equation
- 12 years later, A will be thrice as old as he was 4 years ago:
x + 12 = 3(x - 4)
Solving this equation:
- x + 12 = 3x - 12
- 12 + 12 = 3x - x
- 24 = 2x
- x = 12
So, A's current age is 12 years.
Step 3: Find B's age
According to the problem:
- B is 4/3 times as old as A:
B = (4/3) * A = (4/3) * 12 = 16 years.
Step 4: Find C's age
We know that A is 4 years older than C:
- C = A - 4 = 12 - 4 = 8 years.
Step 5: Determine the ratio of B's age to C's age
Now that we have the ages:
- B = 16 years,
- C = 8 years.
To find the ratio of B's age to C's age:
- Ratio (B:C) = 16:8 = 2:1.
Conclusion
The ratio of the age of B to that of C is therefore 2:1, which corresponds to option 'A'.
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12 years later A will be thrice as old as he was 4 years ago. B is 4/3 times as old as A who is 4 years older than C. What is the ratio of the age of B to that of C?a)2 : 1b)4 : 3c)3 : 2d)5 : 2Correct answer is option 'A'. Can you explain this answer?
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