Mathematics
NULL
Medium
Question
The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers.
A
9, 10
✓ Official correct answer
B
10, 11
C
11, 12
D
12, 13
Community credibility
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A
9, 10
No member explanations yet for this option.
B
10, 11
No member explanations yet for this option.
C
11, 12
No member explanations yet for this option.
D
12, 13
No member explanations yet for this option.
Explanation
n² + (n+1)² − n(n+1) = 91 ⇒ n² + n − 90 = 0 ⇒ n = 9. Integers 9, 10.