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Wilma is thinking of two numbers. Both numbers are square numbers greater than 1 . The sum of the two numbers is 100 . What are the two numbers?

Wilma is thinking of two numbers. Both numbers are square numbers greater than $1$ . The sum of the two numbers is $100$ . What are the two numbers?

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Multiply numbers ending in zeros: word problems

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Q. Wilma is thinking of two numbers. Both numbers are square numbers greater than

1

. The sum of the two numbers is

100

. What are the two numbers?

List Square Numbers: List out square numbers greater than $1$ and less than $100$ . $\newline$ $1^2 = 1$ (not greater than $1$ ), $2^2 = 4$ , $3^2 = 9$ , $4^2 = 16$ , $5^2 = 25$ , $6^2 = 36$ , $7^2 = 49$ , $8^2 = 64$ , $9^2 = 81$ , $10^2 = 100$ (not less than $100$ ).
Pairing for Sum: Start pairing the square numbers to see which two add up to $100$ . $4 + 81 = 85$ (not $100$ ), $9 + 64 = 73$ (not $100$ ), $16 + 36 = 52$ (not $100$ ), $25 + 25 = 50$ (not $100$ ), $36 + 64 = 100$ (bingo!).
Check Sum and Squares: Check if both numbers are square numbers and if their sum is indeed $100$ . $36$ is $6^2$ and $64$ is $8^2$ , and $36 + 64 = 100$ .

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