16Hit1600
Advanced MathVery hardProduct from a sum of squares and a difference

Advanced Math practice question

Two positive numbers have squares that add to 100, and the larger is 2 more than the smaller. What is the product of the two numbers?

Answer: 48

With smaller s: s² + (s + 2)² = 100 gives 2s² + 4s − 96 = 0, so s² + 2s − 48 = (s + 8)(s − 6) = 0 and the numbers are 6 and 8.

Common wrong answers

If you answered 14
14 is their sum.
If you answered 36
36 is the smaller number squared.
If you answered 100
100 is the sum of the squares.

More Advanced Math questions

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