Math CentralQuandaries & Queries


Question from yolanda, a student:

The sum of two whole numbers is 12.If the sum of the squares of those numbers is 74,what are the two numbers?

HI Yolanda,

The two numbers are not very large since their sum is only 12. Since they are quite small maybe you can solve this problem by making a list of whole numbers and their squares.

Number Square
1 1
2 4
3 9
4 16
5 25
. .
. .
. .

Continue the table and look for squares that add to 74.

I hope this helps,

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