Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2010 · Marks: · Difficulty:
The sum of the squares of three consecutive odd numbers is 2531. Find the numbers.
Answer
Answer (as printed):
Explanation
Let the numbers be $x, x+2$ and $x+4$. Then, $x^{2}+(x+2)^{2}+(x+4)^{2}=2531 \Rightarrow 3x^{2}+12x-2511=0 \Rightarrow x^{2}+4x-837=0 \Rightarrow (x-27)(x+31)=0 \Rightarrow x=27$. Hence, the required numbers are 27, 29 and 31.
Explanation as extracted from the printed page; notation may be imperfect.