Question

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.​

Answer 1

Answer:

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