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

6

12

11

7

16

10

15

1 answer

The two numbers are 7 and 15.

To solve for this, we can use a system of equations. Let x be one of the numbers, and y be the other. Then we have:

x + y = 22 (equation 1)
3x + 5 = 35 (equation 2)

We can solve equation 2 for x by subtracting 5 from both sides and then dividing by 3:

3x = 30
x = 10

Now we can plug in x = 10 into equation 1 and solve for y:

10 + y = 22
y = 12

Therefore, the two numbers are 10 and 12.