Question 61953
The sum of two consecutive positive intergers is less than 92. Find the pair with the greatest sum.
Let the numbers be x and x+1
EQUATION:
x+x+1<92
2x+1<92
2x<91
If x is an integer 2x cannot be an odd number,
i.e. 2x cannot be 91.
So it must be 90 if the numbers are to have the greatest sum.
2x=90
x=45
x+1=46
The greatest sum is 91.
Cheers,
Stan H.