The area of a trapezium is 24 sq.cm The distance between its parallel sides is 4 cm. If one of the parallel sides is 7 cm, what is the measure of the other parallel side?

Babu left one-third of his property to his son, one-fourth to his daughter and the remainder to his wife. If his wife's share is Rs 1,80,000, what was the value of his property?

Ram's mother is four times as old as Ram now. After sixteen years, she will be twice as old as Ram. Find their present ages.

Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.

Find three consecutive odd numbers whose sum is 159.

Solve 3x - 2y = 6 and 

Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x

Solve 2a – 3/b = 12 and 5a – 7/b = 1

Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9

Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12

Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

For the solution of the system of equations above, what is the value of  ?

Note:
The equations can be solved in many other ways like substitution
method which is: to eliminate one variable in any one of the
equations with the help of other equation. As we need to find the
value of x, we try to find the value of y in terms of x from one
equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

Two transversals are cutting two parallel lines as shown in the diagram. Find the missing values: x, y and