Question : Directions: The present age of A is two times the present age of B. After 8 years, B's age will be four times C's present age. If 9 years ago, C celebrated his fifth birthday, then what is the present age (in years) of A?
Option 1: 88
Option 2: 96
Option 3: 92
Option 4: 84
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Correct Answer: 96
Solution :
Let the present age of C be x
years.
Since 9 years ago, C celebrated his 5th birthday
⇒ x – 9 = 5
⇒ x = 5 + 9
⇒ x = 14 years
So, C's present age is 14 years.
Also, after 8 years, the B's age will be 4 times that of C's present age.
So, B's present age is –
⇒ (14 × 4) – 8 = 56 – 8 = 48
Since A's present age is twice B's present age, A's present age is 48 × 2 = 96 years.
Hence, the second option is correct.
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