Question : Directions: 5 years hence, the ratio of ages of A and B will be 7 : 5 and the difference between their ages will be 4 years. What are the present ages (in years) of A and B respectively?
Option 1: 5, 9
Option 2: 6, 5
Option 3: 9, 5
Option 4: 9, 6
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Correct Answer: 9, 5
Solution :
Given:
The ratio of ages of A and B after 5 years = 7 : 5
Difference between their ages = 4 years
Let the ratio of ages of A and B after five years be 7y and 5y
According to the question –
⇒ 7y – 5y = 4
⇒ 2y = 4
⇒ y = 4 ÷ 2
⇒ y = 2
Therefore,
Present age of A = 7y – 5 = (7 × 2) – 5 = 14 – 5 = 9 years
Present age of B = 5y – 5 = (5 × 2) – 5 = 10 – 5 = 5 years
Hence, the third option is correct.
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