Question

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

Answer 1

Answer:

Step-by-step explanation: Let the numbers be: (x-2), x and (x+2). Then form the equation as

(x-2)^2 + x^2 + (x+2)^2 = 2531, On simplifying you get

x^2 - 4x +4 + x^2 + x^2 + 4x +4 = 2531, or

3x^2 + 8 = 2531, or

3x^2 = 2531–8 = 2523, or

x^2 = 2523/3 = 841, or

x = 29.

So the three numbers are: 27, 29 and 31.

The largest number is 31.