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.
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Step-by-Step Solution
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 3×14=42 years old.