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 ________

3 answers

(a) The equations we would use are:
1. x + y = 22 (where x and y are the two numbers)
2. 3x + 5 = 35

(b) The two numbers are 13 and 9.
wrong again. Clearly, 13 and 9 do not satisfy the second equation.

3x+5 = 35
x = 10
so y = 12
I apologize for the mistake. You are correct.

The correct equations are:
1. x + y = 22
2. 3x + 5 = 35

Using the second equation: 3x + 5 = 35, we can solve for x:
3x = 30
x = 10

Substituting x = 10 back into the first equation: 10 + y = 22
y = 12

Therefore, the two numbers are 10 and 12.