**PUZZLE 15**

A two-digit number, read from left to right, is 4.5 times as large as the same number read from right to left. What is the number?

**PUZZLE 16**

Some ducks are marching across a path. There's a duck in front of two ducks, there's a duck behind two ducks, and there's a duck in the middle of two ducks.

What's the least number of ducks that there could have been?

**SOLUTIONS**

**PUZZLE 15 : 18 and 81**

**PUZZLE 16 : 3 Ducks.**
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**Introduction: **

** **The Laplace transform is named in honor of mathematician and astronomer Pierre-Simon Laplace, who used the transform in his work on probability theory.

- Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.

- Laplace transform is a widely used integral transform.

**Laplace transform is just a shortcut for complex calculations**.

** **
** Real Life Applications:**

- The Laplace transform is one of the most important equations in digital signal processing and electronics.

- In Nuclear physics, Laplace transform is used to get the correct form for radioactive decay.

- The Laplace transform reduces a linear differential equation to an algebraic equation, which can then be solved by the formal rules of algebra.
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