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- The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
Question 1:
The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers? A. 18, 20, 22
B. 20, 22, 24
Feedback 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 => x² = 121 => x = ± 11
As the numbers are positive, 2x > 0. Hence x > 0. Hence x = 11.
Required numbers are 20, 22, 24.
(2x - 2)² + (2x)² + (2x + 2)² = 1460
4x² - 8x + 4 + 4x² + 8x + 4 = 1460
12x² = 1452 => x² = 121 => x = ± 11
As the numbers are positive, 2x > 0. Hence x > 0. Hence x = 11.
Required numbers are 20, 22, 24.
C. 22, 24, 26
D. 24, 26, 28
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