From Russia with love of numbers !!

Problem:

There are three ways to add four odd numbers and get 10:

1+1+3+5=10

1+1+1+7=10

1+3+3+3=10

Changes in the order of numbers do not count as new solutions.

Now add eight odd numbers to get 20. To find all eleven solutions, you will need to be systematic.

-Nalin Pithwa

PS: I found this gem in a Russian book (translated).

This entry was written by nkpithwa, posted on August 25, 2016 at 11:45 am, filed under Fun with Mathematics. Bookmark the permalink. Follow any comments here with the RSS feed for this post. Post a comment or leave a trackback: Trackback URL.

2 Comments

  1. Anubhav C. Singh
    Posted August 25, 2016 at 2:21 pm | Permalink | Reply

    1+1+1+1+1+1+1+13=20
    1+1+1+1+1+1+3+11=20
    1+1+1+1+1+1+5+9=20
    1+1+1+1+1+1+7+7=20
    1+1+1+1+1+3+3+9=20
    1+1+1+1+1+3+5+7=20
    1+1+1+1+1+5+5+5=20
    1+1+1+1+3+3+3+7=20
    1+1+1+1+3+3+5+5=20
    1+1+1+3+3+3+3+5=20
    1+1+3+3+3+3+3+3=20

  2. nkpithwa
    Posted August 25, 2016 at 3:10 pm | Permalink | Reply

    vv good ! Keep it up !!

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