There are \(105\) boys in a year group at a school. Some boys play football \((F)\) and some play cricket \((C)\).

\(x\) boys play both football and cricket. The number of boys that play neither game is the same as the number of boys that play both. \(40\) boys play cricket. The number of boys that only play football is twice the number of boys that only play cricket.

Complete the Venn diagram and find the value of \(x\).