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The ratio of the current age of A to that of B is 10 : 9. 16 years hence, the ratio of the age of A to that of B will be 13 : 12. What is the current age of B?
  • a)
    32 years
  • b)
    36 years
  • c)
    40 years
  • d)
    48 years
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The ratio of the current age of A to that of B is 10 : 9. 16 years hen...
Given Information:
- Current age ratio of A to B is 10:9
- Age ratio of A to B will be 13:12 in 16 years

Let's assume the current ages of A and B are 10x and 9x respectively.

Age after 16 years:
- Age of A after 16 years = 10x + 16
- Age of B after 16 years = 9x + 16

According to the given information:
- (10x + 16)/(9x + 16) = 13/12
- 120x + 192 = 117x + 208
- 3x = 16
- x = 16/3 = 5.33

Current age of B:
- Age of B = 9x = 9 * 5.33 = 48 years
Therefore, the current age of B is 48 years. Hence, option D is correct.
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Community Answer
The ratio of the current age of A to that of B is 10 : 9. 16 years hen...
Let the current age of A = 10x
The current age of B = 9x

120x + 192 = 117x + 208
3x = 16


Hence, Option D is correct.
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The ratio of the current age of A to that of B is 10 : 9. 16 years hence, the ratio of the age of A to that of B will be 13 : 12. What is the current age of B?a)32 yearsb)36 yearsc)40 yearsd)48 yearsCorrect answer is option 'D'. Can you explain this answer?
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