Puzzle 44 - Cryptarithms

-

 There is a new term for you and me. 

A cryptarithm is a mathematical puzzle where the digits in a sum have been replaced by letters.

Let us look at the famous example of this category.

    SEND
+ MORE
------------
MONEY

Each of the letter S, E, N etc stand for a unique digit. When the alphabets are replaced with their digit values, the addition equation must hold good.

Let us try to find out the easiest hint. Since there are no values in 5th position in both SEND and MORE, M is the carry-over value. It can only be 1. Even if S is 9 and M is 2, the carry will be still be 1. 

So M is 1.

Now replacing M with 1, we get

        SEND

+      1ORE

  ---------------------

      1ONEY 

You need to proceed in this way. 

Now let me give you today's puzzle.

Solve

      SHIRT
  +TSHIRT
----------------
 CLOTHES

          using the method we didn't discuss earlier. :)

And I won't be sending any TSHIRT for guessing correct solution.

Comments

Post a Comment

Popular posts from this blog

Puzzle 9 : The 4 coins problem

-
 Solution to puzzle 8: Maria is not counting Sundays. So she is not counting 1/7th of days of her age.  That is to say she is only counting 6/7th of her age. 6/7th of her age = 30 Her actual age = 30 X 7/6 = 210/6 = 35 years.  Puzzle 9 : The 4 coins problem  You’re creating a new coin system for your country. You must use only four coin values and you must be able to create the values 1 through 10 using one coin at a minimum and two coins maximum. What 4 coins do you choose, and can you think of a second set of 4 coins that achieves the same goal?
Read more

Puzzle 35 - Open sesame

-
I am writing a post after two months.  Here is a locked question ;) There is a number lock. You have to find the number to unlock it.  And here are the results of various number combinations. 682 - one digit is right and in the right position. 614 - one digit is right but in the wrong position. 206 - two digits are right but both are in the wrong positions. 738 - all digits are wrong. 380 - one digit is right but in the wrong place So what is the correct code to open the lock? Find the solution here
Read more

Puzzle 66 - solution

-
 The question was  What is wrong with this proof ? a=b multiply both the sides by a     --1 a2 = ab  add -b2 to both the side           --2 a2-b2 =ab-b2  factorizing                                --3 (a+b)(a-b) = b(a-b)  divide both the sides by (a-b)    ---4 a+b=b Substituting a with b,              ---5 2b = b Dividing both the sides by b    ---6 2 = 1   The problem is with step 4. When a is equal to b, a-b is zero. You can not divide numbers by zero because division is only defined for non-zero numbers.  
Read more