**Answer This Math Question - 12 July**

A 3 digit number is such that it's unit digit is equal to the product of the other two digits which are prime. Also, the difference between it's reverse and itself is 396.

What is the sum of the three digits?

**For Solution :**Click Here

It's 155 - There are only 12 possible combinations of numbers where the first 2 digits are primes and the multiplication result is lower than 10

ReplyDeleteHere's the full list of possible Numbers

Digit 1 Digit 2 Digit 3 Number Reverse Diff

1 1 1 111 111 0

1 2 2 122 221 99

1 3 3 133 331 198

1 5 5 155 551 396

1 7 7 177 771 594

2 1 2 212 212 0

2 2 4 224 422 198

2 3 6 236 632 396

2 4 8 248 842 594

3 1 3 313 313 0

3 2 6 326 623 297

3 3 9 339 933 594

11

ReplyDeleteThe question is the sum of it's 3 digits. So possible choices are 155. But also 236. There all add to 11

11

ReplyDeleteThe question is the sum of it's 3 digits. So possible choices are 155. But also 236. There all add to 11

Digit at 100's place = x

ReplyDeletedigit at 10's place = y

digit at unit place = xy ( a single digit)

value of number is : 100x+10y+xy

value of reverse number : 100xy +10y+ x

according to problem, difference is 396

so, 99xy - 99x = 396

after solving, x = 2, y = 3

actual number is : 236

reverse of number is : 632

sum of three digits is : 11

Answer is 11.The number is 236 not 155 as 1 is neither prime nor composite.

ReplyDeleteno. is 236 and sum is 11

ReplyDeletei think 236 is wrong ans 6 is not a prime.. its 155 only....

ReplyDelete1 is not a prime no...wrong quest. !

ReplyDeletechk solution and den comment

Deletehttp://solution-dailybrainteaser.blogspot.com/2012/07/answer-this-math-question.html

632, simple

ReplyDeleteOh I just read it wrong it is 236

ReplyDeleteSo the answer is 11

Deletesasasa

ReplyDeletevery bad question

ReplyDelete