Thread: 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?

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?

There are many possible answers. eg M = 231 and N = 322.

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

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.

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.

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