Abdul is x years old. His father is thrice as old as him. 10 years ago, Abdul's father was 5 times as old as Abdul was. Which of these equations can be solved to find x, Abdul's present age?

Respuesta :

To solve this problem, we need to set up an equation using the given information. Let's denote Abdul's present age as [tex]\( x \)[/tex]. According to the problem:

1. Abdul's father is thrice as old as Abdul. So, Abdul's father's age [tex]= \( 3x \)[/tex].

2. Ten years ago, Abdul's father was 5 times as old as Abdul was at that time. Ten years ago, Abdul's age was [tex]\( x - 10 \)[/tex] and his father's age was [tex]\( 3x - 10 \)[/tex].

The equation from the second statement is:

[tex]\[ 3x - 10 = 5(x - 10) \][/tex]

Now, let's solve this equation to find [tex]\( x \)[/tex], Abdul's present age.

The equation [tex]\( 3x - 10 = 5(x - 10) \)[/tex] can be solved to find Abdul's present age, which is 20 years old.