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Question : Directions: A was twice as old as B, two years ago. If the difference in their ages is 2 years, find A's age.

Option 1: 6 years

Option 2: 8 years

Option 3: 10 years

Option 4: 4 years


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 7th Jan, 2024

Correct Answer: 6 years


Solution :

Let, the present age of A = A years, and the present age of B = B years
As per the given information, A = (B + 2)
Two years ago, A's age = (A – 2) years, and B's age = (B – 2) years.
⇒ (A – 2) = 2 × (B – 2)
⇒ A – 2 = 2B – 4
⇒ 4 – 2 = 2B – A
⇒ 2B – A = 2
Now, substitute the value of A = B + 2 in the above equation,
⇒ 2B – (B + 2) = 2
⇒ 2B – B – 2 = 2
⇒ B = 2 + 2 ⇒ B = 4 years

So, A's age is 6 years. Hence, the first option is correct.

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