We start by assigning variables for their present ages.
Let Anslemo's age be x while his brother is y
From the first part of the question, his brother's age is 9 times his age.
Hence;
y = 9 * x
y = 9x ....................................(i)
In 6 years time, his brother will be only 3 times as ols as he is;
In six years time, Anselmo's age will be x + 6 while his brother's age will be y + 6
In this six years time, the brother will be 3 times what Anselmo will be
Hence;
(y + 6) = 3(x + 6)
y + 6 = 3x + 18
y = 3x + 18 -6
y = 3x + 12 ........................................(ii)
Since we have y in both equations, we can simply eqaute both;
Hence;
9x = 3x + 12
9x -3x = 12
6x = 12
divide both sides by 6
6x/6 = 12/6
x = 2
Recall;
y = 9x
Substituting the value of x here;
y = 9 * 2
y = 18
Anselmo is presently 2 years old while his brother is 18 years old