Answer :

Answer:

27 years old

Step-by-step explanation:

We can represent Mr. Edwin's current age with the variable [tex]x[/tex]. Using this variable, we can show the given information in an equation.

The two values given to be equal are:

  • TWICE Mr. Edwin's age 9 years ago
  • Mr. Edwin's age in 9 years

Putting this into equation form, we can solve for x:

[tex]2 \cdot (x - 9) = x + 9[/tex]

↓ applying the distributive property ... [tex]a \cdot (b+c) = (a\cdot b) + (a \cdot c)[/tex]

[tex]2x - (2 \cdot 9) = x +9[/tex]

evaluating the multiplication ... [tex]2 \cdot 9 = 18[/tex]

[tex]2x - 18 = x + 9[/tex]

adding 18 to both sides

[tex]2x = x + 27[/tex]

subtracting x from both sides

[tex]\boxed{x = 27}[/tex]

So, Mr. Edwin is 27 years old.