Dr. Johnson’s Intelligence Test Puzzle

The Challenge

Dr. Johnson is currently working on a puzzle from an intelligence test. Can you assist him in solving it? The equations presented are as follows:

  • 5 + 3 = 28
  • 7 + 2 = 59
  • 6 + 4 = 210
  • 8 + 5 = 313
  • 9 + 8 = 117
  • ?? + ?? = 222

Finding the Solution

To determine the values of the last equation, we need to identify the underlying pattern in the previous equations. The pattern can be described as:

A + B = (A – B)(A + B)

From the last equation, we have:

– A – B = 2
– A + B = 22

Calculating A and B

By solving these two equations, we find:

– A = 12
– B = 10

Thus, the final equation is:

12 + 10 = 222.