Mrs. Jones gave this homework assignment to her students:
Find the pattern behind these wrong-looking equations: $$56+43+2+16=5+85+6+1+99$$ $$27+16+117=6+76+117$$ And then come up with two wrong-looking equations of your own that satisfy the same pattern.
Bobby was stumped, but he remembered that Mrs. Jones had been teaching this course almost the exact same way for 30 years, and that she taught his dad too. He went home, dug through his dad's old papers and copied his dad's (correct) solution to a very similar-looking assignment as his own:
When Mrs. Jones first checked Bobby's answers, she just thought they were wrong. But after thinking about what error he could have made, she realized what he had done.
What was the pattern behind the equations, and what did Mrs. Jones realize about Bobby's answers?