The sum of two numbers is 22. Three times one number increased by five is 35.

a) What are the equations you would use? _____ and _____

b) What are the two numbers? _______ and _______

a) The equations we would use are:

1) x + y = 22 (sum of two numbers is 22)
2) 3x + 5 = 35 (three times one number increased by five is 35)

b) Solving the equations, we find that x = 7 and y = 15. So the two numbers are 7 and 15.