Question 1180203
Let the consecutive numbers be x, x+1

x^2 +(x+1)^2 =61

x^2 +x^2 +2x +1 =61

2x^2 +2x -60 =0

divide by 2

x^2 +x -30=0

(x+6)(x-5) =0

x= -6 Or x=5

If  one number is -6 other number is -5

If  one number is 5 other number is 6