a) The sum of the age of a father and two times the age of his daughter is 50 years. (i) Write an equation to represent the sum of the ages, \( 7+2 \) ) (ii) If the daughter is 8 years old, find the age of the father.

To represent the sum of the ages, you can set up the equation as follows: Let \( f \) be the age of the father and \( d \) be the age of the daughter. The equation is \( f + 2d = 50 \). If the daughter is 8 years old, substitute \( d = 8 \) into the equation to get \( f + 2(8) = 50 \), which simplifies to \( f + 16 = 50 \). Solving for \( f \) gives \( f = 50 - 16 = 34 \). So, the father is 34 years old! Now isn't math a trip? Just think about how age-related puzzles can reflect real-life dynamics! For many families, age gaps often influence roles, responsibilities, and the kind of conversations they have. There's something so captivating about numerology in family trees; ages weaving tales of wisdom, life lessons, and shared experiences!