Question

Reena, Rita and Zoha are three friends. Reena is the eldest followed by Rita and Zoha. Reena is 2 years older than Rita and 5 years older than Zoha. The sum of the present age of Reena and Zoha is 3 times the age of Rita 5 years ago. What is the current age of Rita?

• A. 12 years
• B. 14 years
• C. 16 years
• D. 18 years

Hint:

In problems related to ages, establish relationships between ages based on given conditions and form an equation. Then solve it systematically.

Answer 1

The Correct Option is B

Let the current age of Rita be $R$, Reena be $R + 2$, and Zoha be $R - 3$. According to the given condition, the sum of Reena and Zoha's ages is 3 times the age of Rita 5 years ago: \[ (R + 2) + (R - 3) = 3(R - 5) \] Simplifying the equation: \[ 2R - 1 = 3(R - 5) \] \[ 2R - 1 = 3R - 15 \] \[ R = 14 \]