В коробке лежат синие, красные и зелёные карандаши. Всего их 22 штуки. Синих карандашей в 9 раз больше, чем зелёных, а красных меньше, чем синих. Сколько в коробке красных карандашей?

Let's solve this problem step by step:

Let's assume the number of green pencils as x. Then the number of blue pencils will be 9x since there are 9 times more blue pencils than green ones. And the number of red pencils will be less than blue pencils.

So, the equation will be: x + 9x + (less than 9x) = 22

Simplifying the equation: 10x + (less than 9x) = 22 10x < 22 x < 2.2

Since x represents the number of pencils, it can't be a decimal and must be a whole number. Therefore, the number of green pencils (x) must be 2.

Substituting the value of x into the equation: 2 + 9(2) + (less than 9(2)) = 22 2 + 18 + (less than 18) = 22 20 + (less than 18) = 22

To satisfy the equation, the number of red pencils must be 2.

Therefore, there are 2 red pencils in the box.