when will we be 100 years old?

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When Will We Be 100 Years Old? Author(s): Malgorzata Milkolajczyk Source: Mathematics in School, Vol. 25, No. 2 (Mar., 1996), p. 41 Published by: The Mathematical Association Stable URL: http://www.jstor.org/stable/30211744 . Accessed: 07/04/2014 15:38 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. . The Mathematical Association is collaborating with JSTOR to digitize, preserve and extend access to Mathematics in School. http://www.jstor.org This content downloaded from 81.152.52.202 on Mon, 7 Apr 2014 15:38:33 PM All use subject to JSTOR Terms and Conditions

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Page 1: When Will We Be 100 Years Old?

When Will We Be 100 Years Old?Author(s): Malgorzata MilkolajczykSource: Mathematics in School, Vol. 25, No. 2 (Mar., 1996), p. 41Published by: The Mathematical AssociationStable URL: http://www.jstor.org/stable/30211744 .

Accessed: 07/04/2014 15:38

Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at .http://www.jstor.org/page/info/about/policies/terms.jsp

.JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range ofcontent in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new formsof scholarship. For more information about JSTOR, please contact [email protected].

.

The Mathematical Association is collaborating with JSTOR to digitize, preserve and extend access toMathematics in School.

http://www.jstor.org

This content downloaded from 81.152.52.202 on Mon, 7 Apr 2014 15:38:33 PMAll use subject to JSTOR Terms and Conditions

Page 2: When Will We Be 100 Years Old?

Whe..will Whe..will we be

100 ears old?

by Malgorzata Milkolajczyk

My daughter was born when I was 22 (my husband is, by the way, 6 years older than me). Our son was born after one more year. Now, we are very happy and hope we will have nothing but joy and prosperity in our life together but...

Just recently I was wondering when we could celebrate the centenary of our birth. That means:

When will we be 100 years old all together?

After some consideration I came to a very unfortunate conclusion that in the case of my own family this will never happen. Are there any chances for your family to celebrate such an anniversary?

How can we easily determine if a family actually was or when it will be and will it at all be 100 years old?

The condition is very simple. It is enough to check whether S100-(al+a2+...+ak) I-0 (mod k), where ai denote ages of the k members of the family at the fixed (but no matter which) time.

Now I would like to ask you for your advice. Namely,

How should I plan the further development of my family to warrant that the centenary will one year take place? Does there exist more than one possibility? If yes, which one is the most convenient and advanta- geous for me? Why?

This problem has aroused a lot of interest and emotions among my students (16-18 year old). In its character it is like one of your "Points of Departure" (An ATM Activity Book). I hope you will also find it interesting.

Address University ofWroclaw, mathematical Institute, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland.

'co

ST MARTIN

MANAGING A SECONDARY

MATHEMATICS DEPARTMENT A residential course for practicing & aspiring Heads of Depts

Sunday 30th June to Wednesday 3rd July, 1996

Issues will include: Management Role of the HoD; Time Management; Preparing for OffStEd; Management & Assessment of Practical Work, Investigations, Problem Solving & IT; Special Needs in Maths; Interviewing Techniques; - and more!

StMartin's College has yet again been chosen for this Easter's ATM Conference, followed by HIMED. Attractions include the scenic location, the particularly high standard of catering & the generally congenial atmosphere. Each summer this high quality professional course also benefits from the good food, the fine surroundings - & good company! Last year, an Evaluation Form included this statement: "Without doubt the best managerial course I have attended. Every session was enjoyable & relevant to me at this point in my career. It was intensive, but very, very rewarding."

Further details from: MSMD, Mathematics Department, University College of StMartin, Lancaster, LA1 3JD, UK. Tel: +44(0)1524 63446 Fax: 68943

Mathematics in School, March 1996 41

This content downloaded from 81.152.52.202 on Mon, 7 Apr 2014 15:38:33 PMAll use subject to JSTOR Terms and Conditions