Question

The sum of the squares of three consecutive odd numbers is 2531 . find the numbers.

Answer 1

Let x be an odd number.

x2+(x+2)2+(x+4)2=2531x2+(x+2)2+(x+4)2=2531

x2+x2+4x+4+x2+8x+16=2531x2+x2+4x+4+x2+8x+16=2531

3x2+12x+20=25313x2+12x+20=2531

3x2+12x−2511=03x2+12x−2511=0

x2+4x−837=0x2+4x−837=0

(x+31)(x−27)=0(x+31)(x−27)=0

Hence,x=−31Hence,x=−31 or x=27x=27

We take positive value of x.

Hence, x = 27

The odd numbers are 27, 29 and 31.

HENCE, THE LARGEST NUMBER IS 31.

Answer 2

therefore largest no is 31
hope it helps you.