# Is 2 = 1?

Are you tired of solving all these simple maths “*problems*” that are flooding the Internet? Here is a bit more challenging problem.

However, fear not my friend! No University or advanced Maths skills are required. Just primary (elementary) Maths needed. Have fun!

# Step 1

Let’s begin with something really simple to warm up:

`a = 1 and b = 1`

Therefore, we can write this as:

`a = b`

# Step 2

Now, we can multiply both sides of equation with `a`

. This, as we know from algebra, doesn’t affect the result (i.e. both side are still equal):

`a * a = a * b`

we can also write this as `a squared`

, i.e.

`a`**²** = a * b

# Step 3

Next, we can subtract from both sides the same value. Let’s take away `b squared`

:

`a`**²** - b**²** = (a * b) - b**²**

# Step 4

Left hand side of the equation is equal to: `(a — b) * (a + b)`

while the right hand side we can rewrite as `b * (a — b)`

`(a - b) * (a + b) = b * (a - b) `

# Step 5

We are almost there. Let’s just divide equally both sides by `(a — b)`

which will leave:

`a + b = b`

# Grand Finale

Going back to Step 1 we know that `a = b`

and therefore:

`b + b = b`

which is the same as

`2 * b = b`

which if we reduce both sides by dividing `b`

will get us in the end:

`2 = 1`

Can you explain this!? Please leave a comment below but don’t spoil it for others.