# Determine pattern for 4 given equations

We are given this information and the puzzle is to find the pattern of how these given statements can all be true.

$1+~~4=~~~~5$
$2+~~5=~~12$
$3+~~6=~~21$
$8+11=201$

Good luck!

## 2 Answers

Each answer moves

one numerical base downwards.

So

1 + 4 = 5 (5 in decimal = 5 in base 6)
2 + 5 = 12 (7 in decimal = 12 in base 5)
3 + 6 = 21 (9 in decimal = 21 in base 4)
8 + 11 = 201 (19 in decimal = 201 in base 3)

• Wow very impressive and absolutely correct. That is the answer I was looking for and u got it in record time (so quickly I could not even accept your answer so soon as it would not allow me to). I think the low numbered digits ($0,1,2$) was somewhat of a giveaway though. – David James Aug 29 '16 at 6:05

The first number is

(1 , 2, 3, ....Etc) + Second number (1,2,3,4 .. Etc) = (First number+ First number * second number).

Or for better understanding:

X + Y = (X+XY)

• 8+11 would produce 96 according to this rule – elias Aug 29 '16 at 8:11
• It is funny that someone would post a wrong answer after I already previously accepted the correct answer and commented that it was absolutely correct. – David James Aug 29 '16 at 14:04