The present age of A is three times that of B. If the difference between their ages is 22 years, then find the age of A (in yeas).

The correct answer is 33.

Step-by-Step Explanation:

Step 1: Define the variables for their ages.
Let the present age of B be represented by $x$ years.
According to the question, the present age of A is three times that of B.
Therefore, the present age of A = $3x$ years.

Step 2: Set up the equation using the given age difference.
We are given that the difference between their ages is 22 years.
$\text{Age of A}-\text{Age of B}=22$

Substituting the expressions in terms of $x$:

$3x-x=22$

Step 3: Solve for $x$.

$2x=22$

$x=\frac{22}{2}$

$x=11$

So, the present age of B is 11 years.

Step 4: Find the present age of A.
The present age of A is $3x$:

$\text{Age of A}=3\times 11=33\text{years}$

Thus, the present age of A is 33 years.