What two consecutive integers add up to 21 and whose squares also add up to 365?
Category: Math · Difficulty: expert
Hint: Start with the integers and check the conditions one by one.
Answer
10 and 11
Explanation
Let the integers be x and x+1. The equations x + (x + 1) = 21 and x^2 + (x + 1)^2 = 365 yield x = 10, leading to the integers 10 and 11.
This is a expert math riddle — one of the harder riddles here. The answer is 10 and 11.
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