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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