16Hit1600
Advanced MathEasy–MediumSum of two numbers from a difference-of-squares fact

Advanced Math practice question

Two positive numbers differ by 2, and the difference of their squares is 20. What is the sum of the two numbers?

Answer: 10

a² − b² = (a − b)(a + b) = 2(a + b) = 20, so a + b = 10.

Common wrong answers

If you answered 5
5 halves 10.
If you answered 12
12 comes from adding 2 to 10.
If you answered 20
20 is the difference of the squares.

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