The sum of squares of three successive integers is 41774. Sum of these integers is?

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12 May 2020 Arithmetic

The sum of squares of three successive integers is 41774. Sum of these integers is?

OPtion

1) 344
2) 346
3) 364
4) 346
5) 346
6) 354
7) 376
8) 326
9) 328
10) None of these

Solution

(a-1)^2 + a^2 + (a+1)^2 = 41774
=> a^2 -2a + 1 + a^2 + a^2 + 2a + 1 = 41774
=> 3a^2 + 2 = 41774
=> a^2 = (20174-2)/3 = 13924
=> a = 118
So the 3 numbers are 117, 118 and 119 and their sum is 354

Correct Option: 6 Best Solution (0)