In a two digit number,its unit's digit is 3 more than ten's digit. If sum of this number and the number obtained by reversing the order of its digits is 99, find the number.

In the given figure, ^@ ABC ^@ is a right-angled triangle with ^@ AB = 10 \space cm ^@ and ^@ AC = 12 \space cm ^@. A circle with center ^@ O ^@ has been inscribed inside the triangle. Calculate the value of ^@ r ^@, the radius of the inscribed circle.

A drinking glass is in the shape of a frustum of a cone of height ^@21 \space cm^@. The diameters of its two circular ends are ^@13 \space cm^@ and ^@9 \space cm^@. Find the capacity of the drinking glass.(Use ^@ \pi = \dfrac { 22 } { 7 } ^@)

A bag contains ^@5^@ red balls and some blue balls. If the probability of drawing a blue ball from the bag is five times that of a red ball, find the number of blue balls in the bag.

In this diagram, the triangle represents women, the square represents doctors and the circle represents sports persons. Find the number of women who are sports persons but not doctors.