16Hit1600
Advanced MathHardTwo numbers from a sum and a sum of squares

Advanced Math practice question

Two positive numbers have a sum of 7 and squares that add to 25. What is the larger of the two numbers?

Answer: 4

(a + b)² = 49 = 25 + 2ab gives ab = 12, so the numbers are 3 and 4.

Common wrong answers

If you answered 3
3 is the smaller number.
If you answered 5
5 is √25.
If you answered 12
12 is the product.

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