Seven years from now Virat will be twice as old as Mohinder. Five years ago Mohinder's age was one year less than \( \frac{2}{5} \) of Virat's age. What is Virat's present age?

In the circle, chord \(\overline{AB}\) is extended to meet the tangent \(\overline{DE}\) at D. If \(\overline{AB}\) = 12 cm and \(\overline{DE}\) = 8 cm, find the length of \(\overline{BD}\).