Present age of B will be half of A 39 s age 4 years hence and double of A 39 s age 5 years ago then ...........

Quantitative Aptitude(IBPS PO) Problems based on Ages

Present age of B will be half of A's age 4 years hence and double of A's age 5 years ago, then what is the present age of B?

6 years

4 years

8 years

12 years

None of these

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Explanation:

Let the present ages of A and B be a years and b years, then
According to question
b =(a+4)/2 = 2(a – 5)
⇒ (a + 4) = 4(a – 5)
⇒ (4a – a) = 4 × 5 + 4 = 24
⇒ 3a = 24
⇒ a = 8
Hence, the present age of B = b = 2(a – 5) = 2(8 – 5) = 6 years.