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4. Replace letters with digits to crack the code

Like how dealing with numbers could be a fascinating experience, the mix of numbers and the alphabet letters could also be equally fascinating.

Let us consider the following puzzle.

Instructions:

1. Each of the letters of the alphabet will only constitute one-digit.

2. The first digit of a number can never be '

$0$ '.

Let us try to solve the following puzzle.

In this puzzle, we should try to find the value of

$A$ .

Let us consider the entries in the ONES column.

$A + 4 = 1$

It is now understood that

$A$ , when added with

$4$ , gives a number ending with

$1$ .

What are the numbers that end with $1$ ?

$1$ ,

$11$ ,

$21$ ,

$31$ ,

$...$

Let us look at the trial and error method:

When we consider

$A$ as

$7$ , the final value is a number ending with

$1$ .

Let us consider the HUNDREDS column.

$1 + A = 8$

Let us check if the condition

$A = 7$ is satisfied or not.

$1 + 7 = 8$

The condition is thus satisfied.

If we substitute

$7$ in the place of

$A$ , we get the following.

This type of puzzle solving is called 'Cracking of codes' or 'Cryptarithms'.

Did you find an error?