Question

Ravi’s grandfather is 55 years older than him and Ravi is 25 years younger than his father. The combined age of all three of them is 95 years. How old is Ravi’s grandfather?

• A. 65 years
• B. 60 years
• C. 70 years
• D. 30 years

Hint:

In age problems involving family members, always express all ages in terms of a single variable before forming the final equation.

Answer 1

The Correct Option is B

Step 1: Assume Ravi’s present age.
Let Ravi’s present age be \( x \) years.
Step 2: Express the ages of father and grandfather.
Ravi is 25 years younger than his father.
So, father’s age = \( x + 25 \) years.
Ravi’s grandfather is 55 years older than Ravi.
So, grandfather’s age = \( x + 55 \) years.
Step 3: Form the equation using the given condition.
The sum of the ages of Ravi, his father, and his grandfather is 95 years.
\[ x + (x + 25) + (x + 55) = 95 \]
Step 4: Solve the equation.
\[ 3x + 80 = 95 \]
\[ 3x = 15 \]
\[ x = 5 \]
Step 5: Find the age of Ravi’s grandfather.
Grandfather’s age = \( x + 55 = 5 + 55 = 60 \) years.
Step 6: Conclusion.
Ravi’s grandfather is 60 years old.