1) Present ages of X and Y are in the ratio 5 : 6 respectively. Seven years hence this ratio will become 6 : 7 respectively. What is X's present age in years ? A) 35 B) 42 C) 49 D) Cannot be determined E) None of these Answer: Option AExplanation:Let the ages of x and Y be $5x$ years and $6x$ years respectively.Then $\frac{5x+7}{6x+7}$ $\Leftrightarrow 7(5x+7)$$=6(6x+7)$$\Leftrightarrow x =7$$\therefore$ X's present age $=5x=35$ years.