Number Sequence Logic Puzzle

Let's solve this interesting number pattern puzzle. We are given two equations and need to find the value for the third one.

First, let's look at five equals twelve. What operation could take us from five to twelve? It's not a simple addition or multiplication.

Let's look at the second line: six equals twenty one. If we compare these, we might find a common rule.

One common trick for these puzzles is to look at the digits or squared numbers. Let's try squaring the left side. Five squared is twenty five.

And six squared is thirty six. Notice something? If we reverse the digits of twenty five, we get fifty two, which doesn't match twelve. Let's try something else.

What if we multiply the number by its neighbors? For five, if we multiply five by its successor six, we get thirty. If we reverse thirty, we get zero three. That's not it.

Let's look at the numbers twelve and twenty one. Note that they are reversals of each other. Let's look at the squares again, but this time subtraction.

Let's try a different approach: reversing the digits of the square. For five, five squared is twenty five. Reversing the digits gives fifty two. Still doesn't help.

Let's try multiplying the number by three and adding zero, or multiplying by two and adding two. If we look at the digits of twelve, one plus two is three. For twenty one, two plus one is three.

Let's restart with a fresh logic. Look at five equals twelve and six equals twenty one. Notice that twelve is three times four, and twenty one is three times seven.

Another popular pattern for these is squaring the number and reversing the digits after subtracting something. Let's check five squared again. Twenty five. Reverse digits of twenty five to get fifty two. No.