Question:
After five years, A's age will be 10.5 years less than 2.5 times of C's age. Three years ago, the ratio of age of A and C is 3: 1. If B is three times the age of C, then what is the present age of B?
After five years, A's age will be 10.5 years less than 2.5 times of C's age. Three years ago, the ratio of age of A and C is 3: 1. If B is three times the age of C, then what is the present age of B?
Updated On: Sep 10, 2024
- 16 years
- 21 years
- 20 years
- 18 years
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The Correct Option is D
Solution and Explanation
The correct option is (C): 9:10.
Let present age of A and C are a years and c years, respectively.
(a + 5) = \(\frac{5(c + 5)}{2}\) - 10.5
=> 2a + 10 = 5c + 25 - 21
=> 2a - 5c = -6 --- (1)
And \(\frac{(a - 3)}{(c - 3)} \)= 3: 1
=> a - 3 = 3c - 9
=> a - 3c = -6 --- (2)
Solving (1) and (2), we get
a = 12 and c = 6
Hence, B = 3 * 6=18 years.
Let present age of A and C are a years and c years, respectively.
(a + 5) = \(\frac{5(c + 5)}{2}\) - 10.5
=> 2a + 10 = 5c + 25 - 21
=> 2a - 5c = -6 --- (1)
And \(\frac{(a - 3)}{(c - 3)} \)= 3: 1
=> a - 3 = 3c - 9
=> a - 3c = -6 --- (2)
Solving (1) and (2), we get
a = 12 and c = 6
Hence, B = 3 * 6=18 years.
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