Two numbers are in the ratio of 3: 5. If 9 be subtracted from each, then they are in the ratio of 12: 23. Find the numbers. 

A and B working together, can do a piece of work in $$ {4{1\over 2}}$$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $$ {2{1\over 4}}$$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?

Study the following table carefully and answer the questions given below.

In which year was the difference in number of students in Arts and Science exactly 130?

A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65?

The heights of Arun’s family members are given in cm’s as 165, 180, 181, 163, 172, 180, 162 The median height of the family will be

Average age of 6 boys is 14 years. Average age of 11 girls is 12 years. What is the average age (in years) of all boys and girls?

The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is 

The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is