Question : Directions: The present ages of father and son are in the ratio of 5:1, respectively. Seven years later this ratio becomes 3:1. What is the son's present age in years?
Option 1: 8
Option 2: 7
Option 3: 6
Option 4: 5
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Correct Answer: 7
Solution : Given: The ratio of the present age of father and son = 5:1 The ratio of age of father and son, seven years later = 3:1
Let the present age the father and son be 5x, x. So, seven years later their ages will be→(5x + 7), (x + 7) According to the question, ⇒ (5x + 7)/(x + 7) = 3/1 ⇒ 5x + 7 = 3(x + 7) ⇒ 5x + 7 = 3x + 21 ⇒ 5x – 3x = 21 – 7 ⇒ 2x = 14 ⇒ x = 7
Therefore, the son's present age is x = 7 × 1 = 7 years. Hence, the second option is correct.
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