Don’t look up this word in Dictionary.

Alphametics is the combination of two words – Alphabetic + Arithmetic when combined in a form of mathematical puzzle a new word was born in 1955 known as Alphametics.

In simple word it is a mathematical puzzle consisting of a numerical computation with letters substituted for numbers which are to be restored through mathematical reasoning.

What is odd and even?

As far as the definition of odd and even in mathematics is concerned a number that ends with 1, 3, 5, 7 and 9 is known as odd number whereas a number that ends with 0, 2, 4, 6 and 8 is known as even number.

**Now a big question is – Have you heard about Odd and Even scheme brought by Mr. Arvind Kejriwal Govt. to reduce the pollution level of Delhi?**

If you live in Delhi then you must have heard about it. The pollution level of Delhi is in very critical stage and in a recent report it was found that the air in Delhi is most polluted and the govt. of Delhi has brought a scheme to reduce the pollution level by allowing the cars with even number to ply on Even dates and odd registration number car to ply on odd dates.

This puzzle is a salute to the govt. of Delhi for their bold decision taken to reduce the pollution level and make Delhi road congestion free.

Here E = Even number and O = Odd number

Replace E with even digits and O with odd digits. The digit may change. Find a solution?

Solution:-

Let us first represent this question by replacing every O and E with another alphebets

As you can see that in the fourth row –

A B C × D = K L M which is a three digit number. If you take E = 2 and A = 3 then 322 × 3 = 966 looks true for the 4th row but it fails to satisfy the 3rd row because in third row A B C × E = F G H I which is a four digit number.

If A = 1 then obviously A B C < 200 then whatever value you assign for B and C you will get a four digit number < 2000 but it contradicts the facts as F = even number. Hence A = 3 and 3 × D = K where K < = 9 because K is an even number. Therefore D = 2 as 3 × 4 = 12 is a two digit number. A = 3 D = 2 Let’s check the given expression with these two values.

It is clear from the above equation that A B C × E > 2100 then E will take the value of 6 and 8.

It doesn’t satisfy the 5th row which is a 5 digit number. Hence we have to take another value of B, C and D to satisfy the expression.

Let’s take B = 4 and C = 8 = D

DR RAJESH KUMAR THAKUR

rkthakur1974@gmail.com