Rithvik's Blog 11+

Emma has 120 marbles. She decides to give some marbles to her three friends: Alice, Ben, and Charlie. Emma gives Alice twice as many marbles as she gives Ben and gives Charlie 5 more marbles than Ben. After giving away the marbles, Emma has 35 marbles left. How many marbles did Emma give to each of her friends?

John is twice as old as Peter. In 6 years, the sum of their ages will be 54. How old is each one now?

If 2x - 5y = 12 and x + y = 3, find the values of x and y

Solve the following simultaneous equations for x and y: 2x + 3y = 10 4x - 5y = 2

Two numbers add to give 500 and multiply to give 47124. What is the difference between the two numbers?