Ram's present age is one - sixth of his father's present age. If the difference between their present ages is 35 years, then what is his father's present age?
A. 32 years B. 42 years C. 52 years D. 44 years
Correct Answer: B
Explanation
Let's denote Ram's present age as \( R \) and his father's present age as \( F \).
According to the problem: 1. Ram's age is one-sixth of his father's age: \[ R = \frac{1}{6}F \]
2. The difference between their present ages is 35 years: \[ F - R = 35 \]
Substitute \( R \) from the first equation into the second equation: \[ F - \frac{1}{6}F = 35 \]
Combine like terms: \[ \frac{5}{6}F = 35 \]
Solve for \( F \): \[ F = 35 \times \frac{6}{5} = 42 \]