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?

If x + y = 12 and x - y = 4, what are the values of x and y?

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

Find the solution to the system of equations below: 9x + 6y = 15 10x - 6y = 2

Solve the following system of equations: 2x + 3y = 7 4x - 5y = -1