The sum of two numbers is 36 and one number exceeds another by 8. Find the numbers.

A bus is carrying 56 passengers with some people having Rs.8 tickets and the remaining having Rs.10 tickets. If the total money received from these passengers is Rs.500, find the number of passengers with each type of tickets.

The length of a rectangular field exceeds its breadth by 9 metres. If the perimeter of the field is 154m, find the length and breadth of the field.

There is a wooden piece of length 2m. A carpenter wants to cut it into two pieces such that the first piece is 40 cm smaller than twice the other piece. What is the length of the smaller piece?

mother is five times as old as her daughter. After 2 years, the mother will be four times as old as her daughter. What are their present ages?

The denominator of a fraction is 3 more than its numerator. If 2 is added to the numerator and 9 is added to the denominator, the fraction becomes \(\frac { 5 }{ 6 } \). Find the original fraction.

The sum of the digits of a two-digit number is 8. If 18 is added to the value of the number, its digits get reversed. Find the number.

From home, Rajan rides on his motorbike at 35 km/hr and reaches his office 5 minutes late. If he had ridden at 50 km/hr, he would have reached his office 4 minutes earlier. How far is his office from his home?