Reena is 6 years older than Tanvi. Two years ago, Reena's age was one and a half times Tanvi's age. How old is Reena now?

Explanation

1. 01

   Let Tanvi be $t$; Reena is $t + 6$.

2. 02

   Two years ago: $t + 4 = 1.5(t - 2)$.

3. 03

   $t + 4 = 1.5t - 3$, so $0.5t = 7$ and $t = 14$.

4. 04

   Reena = $14 + 6 = 20$ years. Check: $18 = 1.5 \times 12$.