Question 41403
you are absolutely right.
let first number be x
let next  number be x+1
sum of squars of these 2 = x^2+x^2+2x+1 = 85
2x^2+2x+1=85
2x^2+2x  =85-1
2x^2+2x  =84
divide by 2 thro out
x^2+x=42
x^2+x-42=0
x^2+7x-6x-42=0
x(x+7)-6(x+7)=0
(x-6)(x+7)=0
x=6 0r -7
deleting negative answer
we get the numbers as 6 and 7.
cheers