Question

Ram is 6 years older than Sita and Sita is 8 years older than Rahul. After 8 years, if Ram will be twice as old as Rahul, then 4 years ago, Sita’s age was _____.

• A. 16
• B. 14
• C. 12
• D. 10

Hint:

In age problems, express all ages in terms of one variable to simplify equations.

Answer 1

The Correct Option is D

Concept: Form equations using age relationships.
Step 1: Let Rahul’s present age = $x$.
\[ {Sita} = x + 8,\quad {Ram} = x + 14 \]
Step 2: After 8 years condition.
\[ (x + 14 + 8) = 2(x + 8) \]
Step 3: Solve equation.
\[ x + 22 = 2x + 16 \Rightarrow x = 6 \]
Step 4: Find Sita’s present age.
\[ {Sita} = 6 + 8 = 14 \]
Step 5: Find age 4 years ago.
\[ 14 - 4 = 10 \]
Hence, Sita’s age 4 years ago was 10 years.