Question : Directions: The ratio of the present ages of A and B is 4 : 5. After 5 years, the age of B will be 35 years. What is the present age (in years) of A?
Option 1: 24
Option 2: 29
Option 3: 26
Option 4: 31
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Correct Answer: 24
Solution : Given: The ratio of the present ages of A and B is 4 : 5
Let A's present age = 4Y and B's present age = 5Y B's age after 5 years will be 35 years. According to the question – ⇒ 5Y + 5 = 35 ⇒ 5Y = 35 – 5 ⇒ 5Y = 30 ⇒ Y = 30 ÷ 5 ⇒ Y = 6 Therefore, A's present age→4Y = 4 × 6 = 24 years
Hence, the first option is correct.
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