Twelve years hence, from now age of 'A' will increase by 25%. If 'B' is 14 years elder to 'A', then find the ratio of present age of 'B' to that of 'C' given that age of 'C', 6 years hence from now will be 37 years. a. 3:2 b. 4:1 c. 2:1 d. 2:3
Question
Twelve years hence, from now age of 'A' will increase by 25%. If 'B' is 14 years elder to 'A', then find the ratio of present age of 'B' to that of 'C' given that age of 'C', 6 years hence from now will be 37 years.
a. 3:2
b. 4:1
c. 2:1
d. 2:3
Solution
The problem can be solved in the following steps:
Step 1: Let's assume the present age of 'A' is x years. According to the problem, twelve years from now, the age of 'A' will increase by 25%. So, we can write this as: x + 12 = 1.25x.
Step 2: Solving the above equation, we get x = 48. So, the present age of 'A' is 48 years.
Step 3: The problem states that 'B' is 14 years elder to 'A'. So, the present age of 'B' is 48 + 14 = 62 years.
Step 4: The problem also states that the age of 'C', 6 years from now will be 37 years. So, the present age of 'C' is 37 - 6 = 31 years.
Step 5: Now, we need to find the ratio of the present age of 'B' to that of 'C'. So, the ratio is 62:31, which simplifies to 2:1.
So, the answer is option c. 2:1.
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