Problem On Age

Let the present ages of the two boys be and years. After 2 years, their ages will be and years respectively. According to the problem, the ratio of their ages after 2 years will be 5:9. Therefore, we can write the equation: $ $ So, the present ages of the two boys are years and years. We need to find the ratio of their ages after 10 years. After 10 years, their ages will be years and years respectively. The ratio of their ages after 10 years will be . Therefore, the correct option is (D)