 # Smartick - Math, one click away

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## Have Fun Solving Kenken Puzzles!

In today’s post we’re going to learn how to solve Kenken puzzles. Kenken is a very entertaining game that exercises our calculation capacity and strategical and logical thinking. Sounds good, doesn’t it?

The objective of a Kenken puzzle is to fill a grid with numbers by following the instructions given:

• No number can appear more than once in the same row or column.
• The grid is made up of different areas. To complete them, you need to pay attention to the digit in the top left corner of the area, and obtain this figure as a result of the indicated operation (addition, subtraction, multiplication or division).

You can play online by following this link to the official page. Choose the dimension, difficulty, and the operations you want to use and start playing!  To help you learn how to solve a Kenken puzzle, we’re going to take a look at two examples of exercises that you’ll find in Smartick logic sessions. One is an example of a 2×2 grid, and the other is 3×3. Let’s find out how easy it is!

##### 2×2 Kenken

First of all, let’s look at how to solve the following Kenken puzzle. The yellow area is made up of just one square containing a number with no operation, so this means that we need to put this number directly in the square (the 2). Carrying on with the first row, we know that we need to use the numbers 1 and 2 and we’ve already used the 2. So, a 1 must go in the next square. Following the same reasoning with the columns, we place a 1 in the first column. And, finally, the only thing we have left to do is place a 2 in the second column. We’ve solved our first Kenken! It’s easy, right?

##### 3×3 Kenken

Now we’re going to take a look at a sightly more difficult example, involving a 3×3 grid. Once again, it’s easy to place the correct number in the yellow area. Since it’s the simplest part of the puzzle, we’ll start with it. We place the the number 2 in the yellow square. Now we move on to the green area. We have to find two numbers between 1 and 3 that add up to 5. The only numbers that meet this condition are 2 and 3. Since we’ve already placed a 2 in the bottom row, and we can’t repeat numbers in the same row, we have to place the 3 in the bottom row and the 2 above it. We continue with the pink area. Now we have to find two numbers between 1 and 3 that subtract to make 2. The only numbers that meet this condition are 3 and 1. Since we already have a 3 in the bottom row, we have to put the 1 in the bottom row and the 3 above it in order to make sure we don’t repeat any numbers in the same row. Now we only have the orange area left to do! And we can do it using the process of elimination. We have to place a 1, a 2, and a 3 in each column. Keeping this in mind, it’s easy to place the numbers we have left.    We’ve solved 2 puzzles! See how fun and easy it is? Do you dare to try this next Kenken by yourself? 