The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?  Choose the correct answer
A) 18, 20, 22
B) 20, 22, 24
C) 22, 24, 26
D) 24, 26, 28
E) None of these
Three consecutive even natural numbers be 2x - 2, 2x and 2x + 2.   (2x - 2)2 + (2x)2 + (2x + 2)2 = 1460   4x2 - 8x + 4 + 4x2 + 8x + 4 = 1460   12x2 = 1452 =&gt; x2 = 121 =&gt; x = ± 11   As the numbers are positive, 2x &gt; 0. Hence x &gt; 0. Hence x = 11.   Required numbers are 20, 22, 24.   ANSWER:20, 22, 24
<result>B</result>
The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?