I have four two-digit numbers written on my paper. The sum of these four numbers is less than 100.

True or false: each number is less than 25.

Bonus: If all the numbers on my paper are different, what is the largest number I could possibly have written?

To receive credit for your solution you must -

• write your short answer in a complete sentence

• fully explain your reasoning (what did you think about to find your answer?)

Be sure to tell us the WHY of your answer.

You can email your answers to : adelfiom@sidwell.edu, bring your answers back to school in the fall, or mail them to us at:

Merry Adelfio and Raina Fishbane

Sidwell Friends School

3825 Wisconsin Ave. NW

Washington, DC 20016

These problems are from the Math Forum.