The present age of Sahil's mother is three times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.

Step 1: Define Variables

First, we assign Sahil's current age as $x$. Since Sahil's mother's current age is three times Sahil's current age, her age will be $3x$.

Step 2: Ages After 5 Years

After 5 years, Sahil's age will be $x+5$ and his mother's age will be $3x+5$.

Step 3: Formulate the Equation

According to the problem, the sum of their ages after 5 years will be 66 years. So, we set up an equation by adding their ages after 5 years and equating it to 66.

Step 4: Solve the Equation

Now, we solve the equation for $x$. First, combine like terms, then subtract 10 from both sides, and finally divide by 4 to isolate $x$.

Step 5: Find Present Ages

Since $x$ represents Sahil's current age, Sahil is 14 years old. His mother's current age is $3x$, so she is $3 \times 14 = 42$ years old.

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