Question

which equation represents the following Word problem. Juan father was 29 year old when Juan was born. This year, the sum of their ages is 53. what are their ages?

Answer 1

Explanation:

Let 'x' be Juan's age.

Juan's father's age is 29 plus Juan's age: 29 + x

The sum of Juan's age and his father's is 53:

$\begin{gathered} (29+x)+x=53 \\ 29+2x=53 \end{gathered}$

Solving for x:

$\begin{gathered} 2x=53-29 \\ 2x=24 \\ x=\frac{24}{2}=12 \end{gathered}$

Juan's father age is 29+x = 29 + 12 = 41

Answer:

The equation is 29 + 2x = 53

Juan is 12 years old and his father is 41 years old