Diophantine equations

To make 11 kilograms of this blend of coffee costs £15 per kilogram. The blend uses more Brazilian, Kenyan and Mocha coffee... How many kilograms of each type of coffee are used?

What are the possible dimensions of a rectangular hallway if the number of tiles around the perimeter is exactly half the total number of tiles?

The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?

Try out this geometry problem involving trigonometry and number theory

I am exactly n times my daughter's age. In m years I shall be ... How old am I?

Find all 3 digit numbers such that by adding the first digit, the square of the second and the cube of the third you get the original number, for example 1 + 3^2 + 5^3 = 135.

Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2

The sum of the cubes of two numbers is 7163. What are these numbers?

If the last four digits of my phone number are placed in front of the remaining three you get one more than twice my number! What is it?

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?