# Sum of digits of page numbers

• Apr 21st 2009, 04:21 AM
Crayon
Sum of digits of page numbers
Here's my question -

Jim turned the pages of a book he was reading. Each page had a 3-digit number.

The sum of the digits on page M was 6.
The sum of the digits on page N was 7.

What are the two possible page numbers?(Thinking)
• Apr 21st 2009, 04:28 AM
mr fantastic
Quote:

Originally Posted by Crayon
Here's my question -

Jim turned the pages of a book he was reading. Each page had a 3-digit number.

The sum of the digits on page M was 6.
The sum of the digits on page N was 7.

What are the two possible page numbers?(Thinking)

There are many possible answers. eg M = 231 and N = 322.
• Apr 21st 2009, 04:41 AM
Crayon
Hi hi, the answers given to me was M = 222 and N = 223, but i can't figure out how to derive these answers?
• Apr 21st 2009, 04:47 AM
mr fantastic
Quote:

Originally Posted by Crayon
Hi hi, the answers given to me was M = 222 and N = 223, but i can't figure out how to derive these answers?

So the pages were meant to be consecutive ....?

Get three digit numbers whose sum of digits is 6 and whose sum of digits is 7. Then choose the ones that fit the given criteria.
• Apr 21st 2009, 05:08 AM
Crayon
Quote:

Originally Posted by mr fantastic
So the pages were meant to be consecutive ....?

Get three digit numbers whose sum of digits is 6 and whose sum of digits is 7. Then choose the ones that fit the given criteria.

(Itwasntme) erm..is there any shortcuts in getting the 3-digits # in order to fit the criteria? Thanks.