Question

The sum of the age (in years) of a father and three times the age of his daughter is 59. If the age of the father is x years and that of his daughter is y years, the equation representing the given information is ______.

Options

• 3x + y = 59

• x + y = 59

• x + 3y = 59

• x + y = 56

Answer 1

The sum of the age (in years) of a father and three times the age of his daughter is 59. If the age of the father is x years and that of his daughter is y years, the equation representing the given information is x + 3y = 59.

Explanation:

1. Identify the variables:

Age of the father = x years

Age of the daughter = y years

2. Translate the statement into an equation:

The statement says: “The sum of the age of a father and three times the age of his daughter is 59”.

“Age of father” → x

“Three times the age of daughter” → 3y

“Sum” → +

“Is 59” → = 59

3. Form the equation:

x + 3y = 59