The sum of two numbers is 22. Three times one number increased by five is 35.(4 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.a) What are the equations you would use? 10 and 12b) What are the two numbers? Response area and Response areax−y=223x+5=353x=3514x+y=228x+8=35

To solve the problem:

1. The sum of two numbers is 22:

   • This can be expressed as the equation: x + y = 22.

2. Three times one number (let's say x) increased by five is 35:

   • This can be expressed as the equation: 3x + 5 = 35.

Therefore:

a) The equations you would use are:

• x + y = 22
• 3x + 5 = 35

b) To find the two numbers, you can solve the equations.

From the second equation:

• \(3x + 5 = 35\)
• \(3x = 30\)
• \(x = 10\)

Now substitute \(x = 10\) into the first equation:

• \(10 + y = 22\)
• \(y = 12\)

Thus, the two numbers are:

• 10 and 12.

You would input them as:

• Response area: 10
• Response area: 12.