M4maths Previous Puzzles

21 Apr 2020 Arithmetic

The sum of squares of three successive integers is 63077. Sum of these integers is?

OPtion

1) 425
2) 415
3) 445
4) 535
5) 545
6) 635
7) 435
8) 735
9) 505
10) None of these

Solution

(a-1)^2 + a^2 + (a+1)^2 = 63077
=> a^2 -2a + 1 + a^2 + a^2 + 2a + 1 = 63077
=> 3a^2 + 2 = 63077
=> a^2 = (20174-2)/3 = 21025
=> a = 145
So the 3 numbers are 144, 145 and 146 and their sum is 435

Correct Option: 7 Best Solution (4)