A number theory problem by crazy singh

Number Theory Level 1

Let A A be a two digit number and B B be another two digit number formed by reversing the digits of A A . If A + B A + B + (product of digits of A) = 145 = 145 , then what is the sum of the digits of A A ?


The answer is 11.

Crazy Singh by crazy singh , 31, India

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2 solutions

Saurabh Mallik
Mar 28, 2014

Can somebody help me find solutions to this question?

Anagram Cracker!!

Anagrams are problems related to shuffled letters which are needed to be arranged and made into perfect meaningful sentences without repeating the letters (letters can be used only once).

Here are some anagrams which you need to crack:

1) tuteauaewribeifslh

2) geaperioitrdspawsagnhabineod

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Can somebody help me find solutions to this question?

Anagram Cracker!!

Anagrams are problems related to shuffled letters which are needed to be arranged and made into perfect meaningful sentences without repeating the letters (letters can be used only once).

Here are some anagrams which you need to crack:

1) tuteauaewribeifslh

2) geaperioitrdspawsagnhabineod

3) enaednenetorfyimrw

Remember to arrange and make a meaningful sentence (one sentence from each group of letters), not single word. If you are able to solve this anagrams please inform me the answers as well as how you found the solutions to the anagrams.

Details and assumptions:

Example:

"My name is Anil" can be written in the form of group of letters as:

meailaysmnni

Saurabh Mallik - 7 years, 2 months ago
Luvv Gera
Mar 7, 2014

A=38,B=83 A+B=145 8+3=11 NO NEED TO SOLVE JUST A JUDGEMENT

0 Helpful 0 Interesting 0 Brilliant 0 Confused

you solved this with a hit and trial method?

Sunetra Ganguly - 7 years, 2 months ago

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Almost. I wrote my method below.

Adrian Neacșu - 7 years, 1 month ago

Can somebody help me find solutions to this question?

Anagram Cracker!!

Anagrams are problems related to shuffled letters which are needed to be arranged and made into perfect meaningful sentences without repeating the letters (letters can be used only once).

Here are some anagrams which you need to crack:

1) tuteauaewribeifslh

2) geaperioitrdspawsagnhabineod

3) enaednenetorfyimrw

Remember to arrange and make a meaningful sentence (one sentence from each group of letters), not single word. If you are able to solve this anagrams please inform me the answers as well as how you found the solutions to the anagrams.

Details and assumptions:

Example:

"My name is Anil" can be written in the form of group of letters as:

meailaysmnni

Saurabh Mallik - 7 years, 2 months ago

11 ( a + b ) + a b = 145 ⟹ 0 ≡ 2 − a b ( m o d 11 ) ⟹ a b = 11 k + 2 11(a+b)+ab=145\Longrightarrow 0\equiv 2-ab\quad (mod\quad 11)\quad \Longrightarrow ab=11k+2 Then you give values to k and find the digits a and b and check if the result is correct. It only worked for k=2.

Adrian Neacșu - 7 years, 1 month ago

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