# William is thinking of two numbers. Both numbers are squarenumbers greater than 1. The sum of the numbers is 100. Write down

William is thinking of two numbers. Both numbers are square
numbers greater than 1. The sum of the numbers is 100. Write down
the two numbers.​

### 1 thought on “William is thinking of two numbers. Both numbers are square<br />numbers greater than 1. The sum of the numbers is 100. Write down”

Whole number squares 0^2+10^2=100 and 6^2+8^2=100 and Integer squares (+/-)6^2+(+/-)8^2=100

PREMISES

y=two squares whose sum is 100

CALCULATIONS

A square (number) is a number of the form r×r commonly denoted as r^2

y=two squares whose sum is 100

y=a^2+b^2=100

Squares of whole numbers 0-10 where the sum of two squares <=100

0^2,1^2, 2^2, 3^2,4^2,5^2,6^2,7^2,8^2,9^2,10^2:

(1) 0^2+10^2=100

(2) 6^2+8^2=100

Squares of integers 0-10 where the sum of two squares <=100

0^2,(+/-)1^2,(+/-)2^2,(+/-)3^2,(+/-)4^2,(+/-)5^2,(+/-)6^2,(+/-)7^2,(+/-)8^2,(+/-)9^2,(+/-)10^2:

(1) 0^2+(+/-)10^2=100

(2) (+/-)6^2+(+/-)8^2