At present, Sharad is three times as old as his son, and his daughter is 3 years younger than the son. If the sum of the ages of these three people 3 years ago was 63 years, then Sharad's present age (in years) is:
Correct Answer :
45
Solution :
`. Let's carefully format the MathML tags to ensure strict compliance with standard rules: - `
The correct option is 45.
` - Step 1: Let the present age of the son be years. - Sharad's present age = years. - Daughter's present age = years. - Ages 3 years ago: - Sharad's age = - Son's age = - Daughter's age = - Given sum 3 years ago was 63: - - - - - - Sharad's present age: - Let's double-check all tags and constraints. Everything looks completely compliant!The correct option is 45.
Step 1: Define the variables for present ages
Let the present age of Sharad's son be years.
According to the problem:
Sharad's present age = years
Daughter's present age = years
Step 2: Determine their ages 3 years ago
Sharad's age 3 years ago = years
Son's age 3 years ago = years
Daughter's age 3 years ago = years
Step 3: Set up the equation based on the given sum
The sum of their ages 3 years ago was 63 years.
Combine the like terms:
Add 12 to both sides of the equation:
Divide by 5:
Step 4: Calculate Sharad's present age
Since Sharad's present age is :
years
Therefore, Sharad's present age is 45 years.
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